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	2990c	Isogeny class
Conductor	2990	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	322560	Modular degree for the optimal curve
Δ	2.955706144768E+21	Discriminant
Eigenvalues	2+  3 5+ -3 -2 13- -5  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3600430,-268480300]	[a1,a2,a3,a4,a6]
Generators	[-40668:1145198:27]	Generators of the group modulo torsion
j	5161630300553298943819449/2955706144768000000000	j-invariant
L	3.5707363418912	L(r)(E,1)/r!
Ω	0.11884336446383	Real period
R	2.146123992703	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	23920l1 95680t1 26910bl1 14950w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2990c1

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
+	3	+	-3	-2	-	-5	0	-	3	-7	-4	-8	-12	-2	6	5	0	-5	12	-1	1	1	-1	-14

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Quadratic twists for elliptic curve 2990c1

-4	8	-3	5	13	-23
23920l1	95680t1	26910bl1	14950w1	38870bo1	68770i1

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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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