Cremona's table of elliptic curves

3936 = 2⁵ · 3 · 41

Field	Data	Notes
Atkin-Lehner	2- 3+ 41-	Signs for the Atkin-Lehner involutions
Class	3936d	Isogeny class
Conductor	3936	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1700352 = 29 · 34 · 41	Discriminant
Eigenvalues	2- 3+ -2  4 -4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-35424,2578068]	[a1,a2,a3,a4,a6]
Generators	[11876:98315:64]	Generators of the group modulo torsion
j	9601936036547336/3321	j-invariant
L	2.9449574236784	L(r)(E,1)/r!
Ω	1.5891539947646	Real period
R	7.412642030616	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3936f2 7872bh4 11808g2 98400bi4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3936d3

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

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Quadratic twists for elliptic curve 3936d3

-4	8	-3	5
3936f2	7872bh4	11808g2	98400bi4

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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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