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	92480o	Isogeny class
Conductor	92480	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	442368	Modular degree for the optimal curve
Δ	-3225590240718400 = -1 · 26 · 52 · 1710	Discriminant
Eigenvalues	2+  2 5+ -2  0 -2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-138816,-20047534]	[a1,a2,a3,a4,a6]
Generators	[499741803343943294194:3818658901574243490717:1091079190382168168]	Generators of the group modulo torsion
j	-191501383744/2088025	j-invariant
L	7.7534403140621	L(r)(E,1)/r!
Ω	0.12358826609654	Real period
R	31.36802770052	Regulator
r	1	Rank of the group of rational points
S	1.000000000685	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	92480v1 46240n2 5440n1	Quadratic twists by: -4 8 17

Hecke Eigenvalues for elliptic curve 92480o1

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	+	-2	0	-2	+	0	2	6	-8	10	2	2	6	-2	-8	2	-2	8	-2	-4	-6	-6	-10

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Quadratic twists for elliptic curve 92480o1

-4	8	17
92480v1	46240n2	5440n1

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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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