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	2451d	Isogeny class
Conductor	2451	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	2016	Modular degree for the optimal curve
Δ	-2324864187 = -1 · 34 · 192 · 433	Discriminant
Eigenvalues	-2 3+  0 -2 -5 -7 -7 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,22,2312]	[a1,a2,a3,a4,a6]
Generators	[-10:31:1] [55:408:1]	Generators of the group modulo torsion
j	1124864000/2324864187	j-invariant
L	1.7959112949193	L(r)(E,1)/r!
Ω	1.1415057930779	Real period
R	0.13110689011327	Regulator
r	2	Rank of the group of rational points
S	0.99999999999929	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	39216bb1 7353l1 61275k1 120099w1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2451d1

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	+	0	-2	-5	-7	-7	+	-1	-2	-3	0	3	-	0	1	4	-4	-13	0	4	-8	-9	6	-7

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Quadratic twists for elliptic curve 2451d1

-4	-3	5	-7	-19	-43
39216bb1	7353l1	61275k1	120099w1	46569m1	105393u1

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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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