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	1914l	Isogeny class
Conductor	1914	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	7737092352 = 28 · 33 · 113 · 292	Discriminant
Eigenvalues	2- 3+ -2 -2 11-  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-594,-3873]	[a1,a2,a3,a4,a6]
Generators	[-15:51:1]	Generators of the group modulo torsion
j	23180817201697/7737092352	j-invariant
L	3.2985643637783	L(r)(E,1)/r!
Ω	0.99301070218217	Real period
R	0.27681510687058	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15312r1 61248q1 5742g1 47850bk1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1914l1

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	-2	-	2	2	0	-2	+	0	-10	-10	-8	4	-2	-6	-8	12	-10	-8	0	4	8	-14

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Quadratic twists for elliptic curve 1914l1

-4	8	-3	5	-7	-11	29
15312r1	61248q1	5742g1	47850bk1	93786db1	21054i1	55506m1

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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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