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	2	Product of Tamagawa factors cp
Δ	26276120 = 23 · 5 · 134 · 23	Discriminant
Eigenvalues	2+  0 5+ -4  4 13+  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-4910,133660]	[a1,a2,a3,a4,a6]
Generators	[43:4:1]	Generators of the group modulo torsion
j	13092360080387769/26276120	j-invariant
L	2.0604947601407	L(r)(E,1)/r!
Ω	1.8178295185943	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	23920h4 95680v4 26910bj4 14950ba4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2990a4

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 2990a4

-4	8	-3	5	13	-23
23920h4	95680v4	26910bj4	14950ba4	38870bh4	68770e4

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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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