Cremona's table of elliptic curves

1914 = 2 · 3 · 11 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 29+	Signs for the Atkin-Lehner involutions
Class	1914n	Isogeny class
Conductor	1914	Conductor
∏ cp	14	Product of Tamagawa factors cp
Δ	-16591334871936 = -1 · 27 · 3 · 116 · 293	Discriminant
Eigenvalues	2- 3- -3 -1 11+ -4  3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-35547,-2589999]	[a1,a2,a3,a4,a6]
Generators	[434:7769:1]	Generators of the group modulo torsion
j	-4967448100211756593/16591334871936	j-invariant
L	4.1612129747714	L(r)(E,1)/r!
Ω	0.17381286064871	Real period
R	1.7100546938162	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	15312q2 61248n2 5742m2 47850c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1914n2

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	+	-4	3	-1	-6	+	2	-7	-9	-7	-9	-6	15	2	14	-12	14	-10	-12	-6	14

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Quadratic twists for elliptic curve 1914n2

-4	8	-3	5	-7	-11	29
15312q2	61248n2	5742m2	47850c2	93786bw2	21054r2	55506l2

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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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