Cremona's table of elliptic curves

3090 = 2 · 3 · 5 · 103

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 103-	Signs for the Atkin-Lehner involutions
Class	3090m	Isogeny class
Conductor	3090	Conductor
∏ cp	132	Product of Tamagawa factors cp
deg	2112	Modular degree for the optimal curve
Δ	-2135808000 = -1 · 211 · 34 · 53 · 103	Discriminant
Eigenvalues	2- 3- 5- -2 -5 -3 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,35,2225]	[a1,a2,a3,a4,a6]
Generators	[-10:35:1]	Generators of the group modulo torsion
j	4733169839/2135808000	j-invariant
L	5.4516770261548	L(r)(E,1)/r!
Ω	1.1398614448014	Real period
R	0.036232985789489	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	24720n1 98880g1 9270f1 15450d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3090m1

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	-5	-3	-6	-6	0	4	0	-4	-3	6	-1	-8	0	-14	-2	2	17	7	9	4	-4

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Quadratic twists for elliptic curve 3090m1

-4	8	-3	5
24720n1	98880g1	9270f1	15450d1

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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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