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	7080d	Isogeny class
Conductor	7080	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	13440	Modular degree for the optimal curve
Δ	12322740000000 = 28 · 3 · 57 · 593	Discriminant
Eigenvalues	2+ 3- 5+ -2 -3  3  1  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-13321,-571621]	[a1,a2,a3,a4,a6]
j	1021237687573504/48135703125	j-invariant
L	1.7827449861508	L(r)(E,1)/r!
Ω	0.4456862465377	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14160b1 56640o1 21240n1 35400j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7080d1

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	3	1	1	-2	0	0	-9	10	-1	-4	7	+	12	-7	12	7	-11	6	-1	14

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Quadratic twists for elliptic curve 7080d1

-4	8	-3	5
14160b1	56640o1	21240n1	35400j1

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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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