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	7080j	Isogeny class
Conductor	7080	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-2477433600 = -1 · 28 · 38 · 52 · 59	Discriminant
Eigenvalues	2- 3+ 5-  4  0  4  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,180,-2268]	[a1,a2,a3,a4,a6]
j	2505453104/9677475	j-invariant
L	2.9392755966748	L(r)(E,1)/r!
Ω	0.73481889916869	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14160j2 56640w2 21240c2 35400g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7080j2

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	4	-8	6	2	6	-10	-	2	-10	8	8	0	-14	-10	-4

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Quadratic twists for elliptic curve 7080j2

-4	8	-3	5
14160j2	56640w2	21240c2	35400g2

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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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