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	1518s	Isogeny class
Conductor	1518	Conductor
∏ cp	256	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	-512169554353324032 = -1 · 232 · 34 · 112 · 233	Discriminant
Eigenvalues	2- 3-  2  4 11- -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-165937,43142633]	[a1,a2,a3,a4,a6]
j	-505304979693115442833/512169554353324032	j-invariant
L	4.276157902252	L(r)(E,1)/r!
Ω	0.26725986889075	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	12144v1 48576g1 4554k1 37950j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1518s1

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	4	-	-2	-2	0	+	-2	-8	-2	2	-8	-8	10	-12	-2	0	8	-6	4	4	-2	10

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Quadratic twists for elliptic curve 1518s1

-4	8	-3	5	-7	-11	-23
12144v1	48576g1	4554k1	37950j1	74382be1	16698r1	34914be1

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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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