Cremona's table of elliptic curves

3080 = 2³ · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 11-	Signs for the Atkin-Lehner involutions
Class	3080c	Isogeny class
Conductor	3080	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	688999603600000000 = 210 · 58 · 76 · 114	Discriminant
Eigenvalues	2-  0 5+ 7+ 11-  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-240883,-21812418]	[a1,a2,a3,a4,a6]
Generators	[5382:393162:1]	Generators of the group modulo torsion
j	1509531602170901796/672851175390625	j-invariant
L	3.0721668333707	L(r)(E,1)/r!
Ω	0.22461766093256	Real period
R	6.8386582351	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6160a2 24640s2 27720o2 15400d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3080c2

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
-	0	+	+	-	2	2	0	0	6	0	-2	-6	-4	0	-10	0	-6	12	-8	-14	-16	-16	-6	10

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Quadratic twists for elliptic curve 3080c2

-4	8	-3	5	-7	-11
6160a2	24640s2	27720o2	15400d2	21560r2	33880d2

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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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