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	126	Product of Tamagawa factors cp
deg	3024	Modular degree for the optimal curve
Δ	-198690471936 = -1 · 221 · 33 · 112 · 29	Discriminant
Eigenvalues	2- 3- -3 -1 11+ -4  3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,933,-18351]	[a1,a2,a3,a4,a6]
Generators	[18:57:1]	Generators of the group modulo torsion
j	89813071796687/198690471936	j-invariant
L	4.1612129747714	L(r)(E,1)/r!
Ω	0.52143858194613	Real period
R	0.57001823127208	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	15312q1 61248n1 5742m1 47850c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1914n1

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 1914n1

-4	8	-3	5	-7	-11	29
15312q1	61248n1	5742m1	47850c1	93786bw1	21054r1	55506l1

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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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