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	3952c	Isogeny class
Conductor	3952	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	53040	Modular degree for the optimal curve
Δ	-8747020560149468272 = -1 · 24 · 13 · 1913	Discriminant
Eigenvalues	2-  0  2  2  2 13+ -7 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-362249,-165197113]	[a1,a2,a3,a4,a6]
j	-328568038616615609088/546688785009341767	j-invariant
L	2.3010002581409	L(r)(E,1)/r!
Ω	0.092040010325636	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	25	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	988b1 15808u1 35568bk1 98800br1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3952c1

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	2	2	+	-7	+	5	2	3	7	7	9	2	6	-3	11	3	16	2	4	6	-6	-11

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Quadratic twists for elliptic curve 3952c1

-4	8	-3	5	13	-19
988b1	15808u1	35568bk1	98800br1	51376s1	75088y1

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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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