Cremona's table of elliptic curves

7840 = 2⁵ · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	7840q	Isogeny class
Conductor	7840	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	8681255332467200 = 29 · 52 · 714	Discriminant
Eigenvalues	2-  0 5+ 7-  0  2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-52283,1037918]	[a1,a2,a3,a4,a6]
Generators	[329:4410:1]	Generators of the group modulo torsion
j	262389836808/144120025	j-invariant
L	3.7069395531974	L(r)(E,1)/r!
Ω	0.358572803331	Real period
R	2.5845096998165	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7840p3 15680di3 70560bh3 39200e3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7840q2

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
-	0	+	-	0	2	-2	-8	8	6	0	-2	6	8	8	-2	-8	2	8	0	-10	-16	-16	-10	14

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Quadratic twists for elliptic curve 7840q2

-4	8	-3	5	-7
7840p3	15680di3	70560bh3	39200e3	1120o3

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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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