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	2451g	Isogeny class
Conductor	2451	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	224	Modular degree for the optimal curve
Δ	-7353 = -1 · 32 · 19 · 43	Discriminant
Eigenvalues	-1 3-  0 -5  0  6 -3 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-8,9]	[a1,a2,a3,a4,a6]
Generators	[1:1:1]	Generators of the group modulo torsion
j	-57066625/7353	j-invariant
L	2.184545433863	L(r)(E,1)/r!
Ω	4.0550341556109	Real period
R	0.26936214961843	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	39216t1 7353h1 61275a1 120099l1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2451g1

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	-5	0	6	-3	+	4	-3	8	3	-12	-	-6	12	5	-12	-5	16	-4	-11	-10	-3	-18

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Quadratic twists for elliptic curve 2451g1

-4	-3	5	-7	-19	-43
39216t1	7353h1	61275a1	120099l1	46569d1	105393i1

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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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