Cremona's table of elliptic curves

2574 = 2 · 3² · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 13-	Signs for the Atkin-Lehner involutions
Class	2574v	Isogeny class
Conductor	2574	Conductor
∏ cp	26	Product of Tamagawa factors cp
deg	24960	Modular degree for the optimal curve
Δ	-75329729519616 = -1 · 213 · 312 · 113 · 13	Discriminant
Eigenvalues	2- 3- -3 -1 11+ 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-935879,-348245953]	[a1,a2,a3,a4,a6]
j	-124352595912593543977/103332962304	j-invariant
L	1.995436886161	L(r)(E,1)/r!
Ω	0.076747572544654	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	20592bw1 82368by1 858d1 64350w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2574v1

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	-1	+	-	0	2	-3	3	8	2	9	5	0	6	3	-1	11	6	-1	2	-18	0	2

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Quadratic twists for elliptic curve 2574v1

-4	8	-3	5	-7	-11	13
20592bw1	82368by1	858d1	64350w1	126126ex1	28314w1	33462bi1

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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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