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
deg	576	Modular degree for the optimal curve
Δ	149500 = 22 · 53 · 13 · 23	Discriminant
Eigenvalues	2+  1 5- -1  0 13- -3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-278,1756]	[a1,a2,a3,a4,a6]
Generators	[-5:57:1]	Generators of the group modulo torsion
j	2363798675161/149500	j-invariant
L	2.9670324501601	L(r)(E,1)/r!
Ω	3.0859025943658	Real period
R	1.4422194282367	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	23920u1 95680c1 26910bg1 14950x1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2990d1

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 2990d1

-4	8	-3	5	13	-23
23920u1	95680c1	26910bg1	14950x1	38870y1	68770c1

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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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