Cremona's table of elliptic curves

2451 = 3 · 19 · 43

Field	Data	Notes
Atkin-Lehner	3- 19- 43-	Signs for the Atkin-Lehner involutions
Class	2451i	Isogeny class
Conductor	2451	Conductor
∏ cp	17	Product of Tamagawa factors cp
deg	4488	Modular degree for the optimal curve
Δ	-105507513171 = -1 · 317 · 19 · 43	Discriminant
Eigenvalues	2 3-  1  4  2  6 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-1900,-36143]	[a1,a2,a3,a4,a6]
j	-758949835165696/105507513171	j-invariant
L	6.0991710150735	L(r)(E,1)/r!
Ω	0.35877476559256	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	39216j1 7353q1 61275d1 120099g1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2451i1

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

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Quadratic twists for elliptic curve 2451i1

-4	-3	5	-7	-19	-43
39216j1	7353q1	61275d1	120099g1	46569f1	105393d1

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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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