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	16	Product of Tamagawa factors cp
Δ	143041600 = 26 · 52 · 132 · 232	Discriminant
Eigenvalues	2+  0 5+ -4  4 13+  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-310,2100]	[a1,a2,a3,a4,a6]
Generators	[3:33:1]	Generators of the group modulo torsion
j	3300628077369/143041600	j-invariant
L	2.0604947601407	L(r)(E,1)/r!
Ω	1.8178295185943	Real period
R	1.1334917488489	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	23920h2 95680v2 26910bj2 14950ba2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2990a2

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 2990a2

-4	8	-3	5	13	-23
23920h2	95680v2	26910bj2	14950ba2	38870bh2	68770e2

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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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