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	3914a	Isogeny class
Conductor	3914	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	448	Modular degree for the optimal curve
Δ	-594928 = -1 · 24 · 192 · 103	Discriminant
Eigenvalues	2+  0 -2  4  2 -2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-23,-51]	[a1,a2,a3,a4,a6]
j	-1378749897/594928	j-invariant
L	1.0654318823211	L(r)(E,1)/r!
Ω	1.0654318823211	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	31312r1 125248s1 35226c1 97850i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3914a1

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	-2	4	2	-2	-2	+	0	-6	4	8	6	10	-6	0	4	-2	8	-16	6	0	-4	12	-6

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Quadratic twists for elliptic curve 3914a1

-4	8	-3	5	-19
31312r1	125248s1	35226c1	97850i1	74366g1

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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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