Cremona's table of elliptic curves

92480 = 2⁶ · 5 · 17²

Field	Data	Notes
Atkin-Lehner	2+ 5- 17-	Signs for the Atkin-Lehner involutions
Class	92480co	Isogeny class
Conductor	92480	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	2056320	Modular degree for the optimal curve
Δ	2232242381120 = 26 · 5 · 178	Discriminant
Eigenvalues	2+  2 5-  4 -3 -2 17- -3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-8748415,-9956690895]	[a1,a2,a3,a4,a6]
Generators	[-24349026918469632009075915676909034151516903792150376381074500647560771139593689430695346558:7244936652108338261024063807234166969000276804414641576456031574826907323064779718824337:14261409555909035712984483965019995979725326300988737828023474588648501108957451496591336]	Generators of the group modulo torsion
j	165859574316544/5	j-invariant
L	12.067388516166	L(r)(E,1)/r!
Ω	0.087784371963117	Real period
R	137.46625106842	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	92480cr1 46240y1 92480ba1	Quadratic twists by: -4 8 17

Hecke Eigenvalues for elliptic curve 92480co1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	2	-	4	-3	-2	-	-3	8	3	-8	2	1	4	0	-2	-13	7	-4	11	-10	-7	6	-15	-8

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Quadratic twists for elliptic curve 92480co1

-4	8	17
92480cr1	46240y1	92480ba1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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