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	1518c	Isogeny class
Conductor	1518	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	1142220445749504 = 28 · 32 · 116 · 234	Discriminant
Eigenvalues	2+ 3+ -2  4 11- -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-45371,-3364515]	[a1,a2,a3,a4,a6]
j	10329367348538068537/1142220445749504	j-invariant
L	0.98839927953096	L(r)(E,1)/r!
Ω	0.32946642651032	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	12144bh2 48576ba2 4554bc2 37950de2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1518c2

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	6	0	+	-6	8	6	-2	0	-8	-10	12	-2	12	0	2	12	-4	-6	18

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Quadratic twists for elliptic curve 1518c2

-4	8	-3	5	-7	-11	-23
12144bh2	48576ba2	4554bc2	37950de2	74382n2	16698bb2	34914e2

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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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