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	2990b	Isogeny class
Conductor	2990	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	64679680 = 28 · 5 · 133 · 23	Discriminant
Eigenvalues	2+  1 5+ -1 -6 13-  3  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-19039,1009522]	[a1,a2,a3,a4,a6]
j	763173572128899049/64679680	j-invariant
L	1.0001043142649	L(r)(E,1)/r!
Ω	1.5001564713973	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	23920m1 95680p1 26910bm1 14950y1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2990b1

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	-6	-	3	8	+	-9	11	-4	0	-4	-6	6	3	8	5	12	11	-1	15	3	2

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Quadratic twists for elliptic curve 2990b1

-4	8	-3	5	13	-23
23920m1	95680p1	26910bm1	14950y1	38870bi1	68770h1

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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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