Cremona's table of elliptic curves

3914 = 2 · 19 · 103

Field	Data	Notes
Atkin-Lehner	2+ 19- 103-	Signs for the Atkin-Lehner involutions
Class	3914d	Isogeny class
Conductor	3914	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	180858112 = 28 · 193 · 103	Discriminant
Eigenvalues	2+ -1 -2 -3  0  4  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-191,709]	[a1,a2,a3,a4,a6]
Generators	[30:-167:1]	Generators of the group modulo torsion
j	776911912057/180858112	j-invariant
L	1.6178037613986	L(r)(E,1)/r!
Ω	1.6944046430456	Real period
R	0.15913197673281	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	31312k1 125248h1 35226g1 97850m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3914d1

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
+	-1	-2	-3	0	4	2	-	-3	0	-1	-7	8	2	10	9	-6	13	1	-3	4	-6	11	5	-4

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Quadratic twists for elliptic curve 3914d1

-4	8	-3	5	-19
31312k1	125248h1	35226g1	97850m1	74366h1

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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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