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	7080h	Isogeny class
Conductor	7080	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	40101120 = 28 · 32 · 5 · 592	Discriminant
Eigenvalues	2- 3+ 5- -4  0 -4  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-220,-1148]	[a1,a2,a3,a4,a6]
Generators	[-8:6:1]	Generators of the group modulo torsion
j	4620876496/156645	j-invariant
L	3.1935812721007	L(r)(E,1)/r!
Ω	1.2417450401907	Real period
R	0.64296235715387	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	14160k2 56640bd2 21240e2 35400e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7080h2

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
-	+	-	-4	0	-4	6	4	-6	2	0	8	-2	-6	2	-2	+	2	-2	0	0	16	6	2	4

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Quadratic twists for elliptic curve 7080h2

-4	8	-3	5
14160k2	56640bd2	21240e2	35400e2

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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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