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	2451b	Isogeny class
Conductor	2451	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	2808	Modular degree for the optimal curve
Δ	13595697 = 32 · 19 · 433	Discriminant
Eigenvalues	1 3+  0  4  4  2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-31470,2135727]	[a1,a2,a3,a4,a6]
j	3446954125979451625/13595697	j-invariant
L	2.2470314759041	L(r)(E,1)/r!
Ω	1.498020983936	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	39216bd1 7353j1 61275h1 120099t1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2451b1

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	4	4	2	2	+	-4	-2	0	6	0	-	12	4	-2	-10	-4	12	-2	4	12	6	14

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Quadratic twists for elliptic curve 2451b1

-4	-3	5	-7	-19	-43
39216bd1	7353j1	61275h1	120099t1	46569j1	105393s1

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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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