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	3900n	Isogeny class
Conductor	3900	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	3360	Modular degree for the optimal curve
Δ	-19500000000 = -1 · 28 · 3 · 59 · 13	Discriminant
Eigenvalues	2- 3- 5- -1 -3 13- -7 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1333,19463]	[a1,a2,a3,a4,a6]
Generators	[58:375:1]	Generators of the group modulo torsion
j	-524288/39	j-invariant
L	4.0525774158502	L(r)(E,1)/r!
Ω	1.1968791363834	Real period
R	1.6929768815654	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	15600bw1 62400bl1 11700w1 3900e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3900n1

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	-3	-	-7	-4	9	8	4	-3	-5	0	2	-3	-12	-15	-12	-15	2	-5	-10	5	-13

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Quadratic twists for elliptic curve 3900n1

-4	8	-3	5	13
15600bw1	62400bl1	11700w1	3900e1	50700bk1

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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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