Cremona's table of elliptic curves

1518 = 2 · 3 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 23-	Signs for the Atkin-Lehner involutions
Class	1518t	Isogeny class
Conductor	1518	Conductor
∏ cp	660	Product of Tamagawa factors cp
deg	10560	Modular degree for the optimal curve
Δ	325058782980096 = 211 · 34 · 115 · 233	Discriminant
Eigenvalues	2- 3- -1 -5 11- -5  1 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-21736,875072]	[a1,a2,a3,a4,a6]
Generators	[-154:836:1]	Generators of the group modulo torsion
j	1135700552684700289/325058782980096	j-invariant
L	3.9465790699851	L(r)(E,1)/r!
Ω	0.50457068313818	Real period
R	0.011850996217939	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	12144p1 48576l1 4554f1 37950g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1518t1

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	-5	-	-5	1	-6	-	-5	7	-11	8	-2	-11	-2	0	-2	3	5	0	-5	-14	4	16

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Quadratic twists for elliptic curve 1518t1

-4	8	-3	5	-7	-11	-23
12144p1	48576l1	4554f1	37950g1	74382bi1	16698u1	34914ba1

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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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