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	3900c	Isogeny class
Conductor	3900	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	4943250000 = 24 · 32 · 56 · 133	Discriminant
Eigenvalues	2- 3+ 5+ -2  0 13+  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-18333,-949338]	[a1,a2,a3,a4,a6]
j	2725888000000/19773	j-invariant
L	1.2308656154348	L(r)(E,1)/r!
Ω	0.41028853847828	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15600ce3 62400cz3 11700j3 156b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3900c3

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	0	+	6	2	0	-6	2	-2	-12	4	0	-6	12	2	10	12	-14	8	-12	0	10

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Quadratic twists for elliptic curve 3900c3

-4	8	-3	5	13
15600ce3	62400cz3	11700j3	156b3	50700d3

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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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