Cremona's table of elliptic curves

7070 = 2 · 5 · 7 · 101

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 101-	Signs for the Atkin-Lehner involutions
Class	7070j	Isogeny class
Conductor	7070	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	2560	Modular degree for the optimal curve
Δ	-452480000 = -1 · 210 · 54 · 7 · 101	Discriminant
Eigenvalues	2- -1 5- 7-  2 -2 -8  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,50,1035]	[a1,a2,a3,a4,a6]
Generators	[-7:23:1]	Generators of the group modulo torsion
j	13806727199/452480000	j-invariant
L	5.5079095136733	L(r)(E,1)/r!
Ω	1.2583472568374	Real period
R	0.1094274550158	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	56560p1 63630o1 35350d1 49490h1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7070j1

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	-	-	2	-2	-8	4	1	-4	0	-7	-2	-1	4	-14	1	-7	-14	9	1	11	7	-7	2

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Quadratic twists for elliptic curve 7070j1

-4	-3	5	-7
56560p1	63630o1	35350d1	49490h1

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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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