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	1914d	Isogeny class
Conductor	1914	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	3360	Modular degree for the optimal curve
Δ	4456565194752 = 214 · 35 · 113 · 292	Discriminant
Eigenvalues	2+ 3+  0  0 11-  0 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-7975,251317]	[a1,a2,a3,a4,a6]
Generators	[-66:737:1]	Generators of the group modulo torsion
j	56104910457765625/4456565194752	j-invariant
L	1.9410781091714	L(r)(E,1)/r!
Ω	0.75785299189215	Real period
R	0.85376193445516	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	15312s1 61248o1 5742t1 47850cq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1914d1

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

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Quadratic twists for elliptic curve 1914d1

-4	8	-3	5	-7	-11	29
15312s1	61248o1	5742t1	47850cq1	93786bo1	21054w1	55506be1

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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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