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	8	Product of Tamagawa factors cp
Δ	73789452800 = 29 · 52 · 78	Discriminant
Eigenvalues	2-  0 5+ 7-  0  2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-640283,197199618]	[a1,a2,a3,a4,a6]
Generators	[14:13720:1]	Generators of the group modulo torsion
j	481927184300808/1225	j-invariant
L	3.7069395531974	L(r)(E,1)/r!
Ω	0.71714560666199	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	7840p2 15680di4 70560bh4 39200e4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7840q3

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 7840q3

-4	8	-3	5	-7
7840p2	15680di4	70560bh4	39200e4	1120o2

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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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