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	92480bj	Isogeny class
Conductor	92480	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	479232	Modular degree for the optimal curve
Δ	-52752935813120 = -1 · 231 · 5 · 173	Discriminant
Eigenvalues	2+ -3 5+  4  2 -1 17+  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-8908,476272]	[a1,a2,a3,a4,a6]
Generators	[174:2048:1]	Generators of the group modulo torsion
j	-60698457/40960	j-invariant
L	4.5658020207661	L(r)(E,1)/r!
Ω	0.58221022285409	Real period
R	0.98027349999867	Regulator
r	1	Rank of the group of rational points
S	0.99999999948062	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	92480dm1 2890j1 92480cg1	Quadratic twists by: -4 8 17

Hecke Eigenvalues for elliptic curve 92480bj1

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
+	-3	+	4	2	-1	+	7	6	-3	-7	-2	-8	-8	9	-11	-5	-1	10	1	-9	0	6	-1	1

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Quadratic twists for elliptic curve 92480bj1

-4	8	17
92480dm1	2890j1	92480cg1

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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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