Cremona's table of elliptic curves

3952 = 2⁴ · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 13+ 19-	Signs for the Atkin-Lehner involutions
Class	3952g	Isogeny class
Conductor	3952	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	-615120896 = -1 · 217 · 13 · 192	Discriminant
Eigenvalues	2-  1  1  1  0 13+ -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,200,-428]	[a1,a2,a3,a4,a6]
Generators	[6:32:1]	Generators of the group modulo torsion
j	214921799/150176	j-invariant
L	4.4053666301121	L(r)(E,1)/r!
Ω	0.9182156125316	Real period
R	0.59971843350144	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	494a1 15808r1 35568bs1 98800cc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3952g1

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	1	1	0	+	-3	-	-6	-8	8	-5	-2	1	-3	-2	10	-14	4	-3	16	-4	-16	8	-10

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Quadratic twists for elliptic curve 3952g1

-4	8	-3	5	13	-19
494a1	15808r1	35568bs1	98800cc1	51376n1	75088bb1

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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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