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	92480dy	Isogeny class
Conductor	92480	Conductor
∏ cp	56	Product of Tamagawa factors cp
deg	7311360	Modular degree for the optimal curve
Δ	-7.7717750741074E+22	Discriminant
Eigenvalues	2- -1 5-  0  6  5 17+ -3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,8692735,-9090823775]	[a1,a2,a3,a4,a6]
Generators	[50295:3144320:27]	Generators of the group modulo torsion
j	2336752783/2500000	j-invariant
L	6.3581706421881	L(r)(E,1)/r!
Ω	0.058796712362444	Real period
R	1.9310392902639	Regulator
r	1	Rank of the group of rational points
S	0.99999999786346	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	92480bu1 23120p1 92480da1	Quadratic twists by: -4 8 17

Hecke Eigenvalues for elliptic curve 92480dy1

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	-	0	6	5	+	-3	-2	-1	-7	-10	-12	4	-7	-1	9	-3	10	9	7	-8	-2	-1	1

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Quadratic twists for elliptic curve 92480dy1

-4	8	17
92480bu1	23120p1	92480da1

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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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