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	2451a	Isogeny class
Conductor	2451	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	240	Modular degree for the optimal curve
Δ	105393 = 3 · 19 · 432	Discriminant
Eigenvalues	1 3+  0  0 -6  2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-15,-24]	[a1,a2,a3,a4,a6]
j	413493625/105393	j-invariant
L	1.2252499594978	L(r)(E,1)/r!
Ω	2.4504999189956	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	39216ba1 7353i1 61275g1 120099v1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2451a1

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	+	0	0	-6	2	-2	+	6	2	10	-8	10	-	-6	14	12	-2	10	-8	-14	10	-6	10	-6

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Quadratic twists for elliptic curve 2451a1

-4	-3	5	-7	-19	-43
39216ba1	7353i1	61275g1	120099v1	46569i1	105393r1

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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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