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	92480k	Isogeny class
Conductor	92480	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1880064	Modular degree for the optimal curve
Δ	-1.6515022032478E+19	Discriminant
Eigenvalues	2+ -1 5+  3 -4  0 17+  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-111361,196082561]	[a1,a2,a3,a4,a6]
Generators	[27199177:2783167844:205379]	Generators of the group modulo torsion
j	-1156/125	j-invariant
L	5.1566792604103	L(r)(E,1)/r!
Ω	0.18050878543109	Real period
R	14.283734906198	Regulator
r	1	Rank of the group of rational points
S	0.99999999645803	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	92480db1 11560k1 92480ci1	Quadratic twists by: -4 8 17

Hecke Eigenvalues for elliptic curve 92480k1

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
+	-1	+	3	-4	0	+	8	-1	6	-10	8	3	4	4	-4	-6	6	7	12	-14	-14	-1	-11	-12

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Quadratic twists for elliptic curve 92480k1

-4	8	17
92480db1	11560k1	92480ci1

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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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