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	1518p	Isogeny class
Conductor	1518	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	1165987944 = 23 · 32 · 113 · 233	Discriminant
Eigenvalues	2- 3- -3 -1 11+ -7 -3  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-4807,-128671]	[a1,a2,a3,a4,a6]
Generators	[-40:23:1]	Generators of the group modulo torsion
j	12284337086925553/1165987944	j-invariant
L	3.8533242589487	L(r)(E,1)/r!
Ω	0.57336744020765	Real period
R	1.1200857683725	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	12144z2 48576t2 4554p2 37950f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1518p2

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
-	-	-3	-1	+	-7	-3	8	+	-9	-7	-7	-6	2	9	-6	0	8	5	-15	2	11	6	0	2

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Quadratic twists for elliptic curve 1518p2

-4	8	-3	5	-7	-11	-23
12144z2	48576t2	4554p2	37950f2	74382y2	16698t2	34914bi2

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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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