Cremona's table of elliptic curves

2424 = 2³ · 3 · 101

Field	Data	Notes
Atkin-Lehner	2- 3+ 101-	Signs for the Atkin-Lehner involutions
Class	2424g	Isogeny class
Conductor	2424	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	2373813504 = 28 · 32 · 1013	Discriminant
Eigenvalues	2- 3+  1  0 -2  1 -7  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-10785,434709]	[a1,a2,a3,a4,a6]
Generators	[36:303:1]	Generators of the group modulo torsion
j	541981500384256/9272709	j-invariant
L	2.8705040542174	L(r)(E,1)/r!
Ω	1.3334231816646	Real period
R	0.17939441467199	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	4848d1 19392m1 7272a1 60600n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2424g1

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	-2	1	-7	5	1	-6	5	-6	-6	4	3	4	-2	-2	-10	5	4	-11	2	-12	14

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Quadratic twists for elliptic curve 2424g1

-4	8	-3	5	-7
4848d1	19392m1	7272a1	60600n1	118776o1

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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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