Cremona's table of elliptic curves

2472 = 2³ · 3 · 103

Field	Data	Notes
Atkin-Lehner	2+ 3+ 103+	Signs for the Atkin-Lehner involutions
Class	2472a	Isogeny class
Conductor	2472	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	800	Modular degree for the optimal curve
Δ	-51259392 = -1 · 211 · 35 · 103	Discriminant
Eigenvalues	2+ 3+  2 -2  5 -4 -8  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,88,108]	[a1,a2,a3,a4,a6]
Generators	[1:14:1]	Generators of the group modulo torsion
j	36382894/25029	j-invariant
L	2.9737790852563	L(r)(E,1)/r!
Ω	1.2625763558386	Real period
R	2.3553261325579	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	4944a1 19776n1 7416c1 61800q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2472a1

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	-2	5	-4	-8	5	-7	1	-5	3	-10	10	4	6	-10	-4	-4	6	-10	10	-4	-11	-9

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Quadratic twists for elliptic curve 2472a1

-4	8	-3	5	-7
4944a1	19776n1	7416c1	61800q1	121128q1

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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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