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	2990d	Isogeny class
Conductor	2990	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	8553887680 = 26 · 5 · 133 · 233	Discriminant
Eigenvalues	2+  1 5- -1  0 13- -3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-553,-2324]	[a1,a2,a3,a4,a6]
Generators	[-13:58:1]	Generators of the group modulo torsion
j	18653901818761/8553887680	j-invariant
L	2.9670324501601	L(r)(E,1)/r!
Ω	1.0286341981219	Real period
R	0.48073980941222	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	23920u2 95680c2 26910bg2 14950x2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2990d2

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
+	1	-	-1	0	-	-3	2	+	-3	-7	-4	6	8	6	6	-9	-10	-13	0	-1	-13	-15	-3	-16

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Quadratic twists for elliptic curve 2990d2

-4	8	-3	5	13	-23
23920u2	95680c2	26910bg2	14950x2	38870y2	68770c2

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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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