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	7070b	Isogeny class
Conductor	7070	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	2560	Modular degree for the optimal curve
Δ	-679002800 = -1 · 24 · 52 · 75 · 101	Discriminant
Eigenvalues	2+ -1 5+ 7-  0  0  4 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,102,-1148]	[a1,a2,a3,a4,a6]
Generators	[16:62:1]	Generators of the group modulo torsion
j	115572468311/679002800	j-invariant
L	2.2616823466666	L(r)(E,1)/r!
Ω	0.80744629880525	Real period
R	0.14005156442064	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	56560h1 63630bu1 35350o1 49490d1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7070b1

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	+	-	0	0	4	-4	-5	4	6	-3	-6	-1	-8	12	11	-9	-4	1	-1	15	11	-3	-8

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Quadratic twists for elliptic curve 7070b1

-4	-3	5	-7
56560h1	63630bu1	35350o1	49490d1

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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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