Cremona's table of elliptic curves

7080 = 2³ · 3 · 5 · 59

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 59-	Signs for the Atkin-Lehner involutions
Class	7080b	Isogeny class
Conductor	7080	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	226560 = 28 · 3 · 5 · 59	Discriminant
Eigenvalues	2+ 3+ 5-  2  3 -1 -5  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-25,-35]	[a1,a2,a3,a4,a6]
Generators	[-3:2:1]	Generators of the group modulo torsion
j	7023616/885	j-invariant
L	4.0977336933878	L(r)(E,1)/r!
Ω	2.1456476781487	Real period
R	0.47744717540527	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	14160h1 56640v1 21240h1 35400p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7080b1

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	3	-1	-5	1	-6	8	-4	-5	-2	-5	-8	-11	-	4	-11	8	-13	-3	-6	1	14

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Quadratic twists for elliptic curve 7080b1

-4	8	-3	5
14160h1	56640v1	21240h1	35400p1

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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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