Cremona's table of elliptic curves

3900 = 2² · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	3900j	Isogeny class
Conductor	3900	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-6739200 = -1 · 28 · 34 · 52 · 13	Discriminant
Eigenvalues	2- 3- 5+ -3  1 13+ -3  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-68,228]	[a1,a2,a3,a4,a6]
Generators	[4:6:1]	Generators of the group modulo torsion
j	-5513680/1053	j-invariant
L	3.9677370984863	L(r)(E,1)/r!
Ω	2.2732849738228	Real period
R	0.14544800234665	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	15600bc1 62400bd1 11700l1 3900f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3900j1

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

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Quadratic twists for elliptic curve 3900j1

-4	8	-3	5	13
15600bc1	62400bd1	11700l1	3900f1	50700bc1

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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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