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	8	Product of Tamagawa factors cp
Δ	2143738561690880000 = 211 · 54 · 712 · 112	Discriminant
Eigenvalues	2-  0 5+ 7+ 11-  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3265883,-2270597418]	[a1,a2,a3,a4,a6]
Generators	[50997702:3547463282:9261]	Generators of the group modulo torsion
j	1881029584733429900898/1046747344575625	j-invariant
L	3.0721668333707	L(r)(E,1)/r!
Ω	0.11230883046628	Real period
R	13.6773164702	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	6160a4 24640s4 27720o4 15400d3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3080c3

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 3080c3

-4	8	-3	5	-7	-11
6160a4	24640s4	27720o4	15400d3	21560r4	33880d4

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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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