Cremona's table of elliptic curves

2990 = 2 · 5 · 13 · 23

Field	Data	Notes
Atkin-Lehner	2+ 5+ 13+ 23+	Signs for the Atkin-Lehner involutions
Class	2990a	Isogeny class
Conductor	2990	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	18189665000 = 23 · 54 · 13 · 234	Discriminant
Eigenvalues	2+  0 5+ -4  4 13+  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-830,-6324]	[a1,a2,a3,a4,a6]
Generators	[33:21:1]	Generators of the group modulo torsion
j	63277932677049/18189665000	j-invariant
L	2.0604947601407	L(r)(E,1)/r!
Ω	0.90891475929715	Real period
R	2.2669834976979	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	23920h3 95680v3 26910bj3 14950ba3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2990a3

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

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Quadratic twists for elliptic curve 2990a3

-4	8	-3	5	13	-23
23920h3	95680v3	26910bj3	14950ba3	38870bh3	68770e3

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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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