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	3900h	Isogeny class
Conductor	3900	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	2028000000 = 28 · 3 · 56 · 132	Discriminant
Eigenvalues	2- 3- 5+  2 -4 13+ -2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-508,-4012]	[a1,a2,a3,a4,a6]
Generators	[-118:177:8]	Generators of the group modulo torsion
j	3631696/507	j-invariant
L	4.3132211955432	L(r)(E,1)/r!
Ω	1.0147813977859	Real period
R	4.2503944248034	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15600ba2 62400bb2 11700i2 156a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3900h2

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	+	-2	-2	0	-6	-10	-10	8	-4	4	10	-8	-14	-2	16	10	-16	0	-4	2

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Quadratic twists for elliptic curve 3900h2

-4	8	-3	5	13
15600ba2	62400bb2	11700i2	156a2	50700ba2

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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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