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	3900g	Isogeny class
Conductor	3900	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	16800	Modular degree for the optimal curve
Δ	-487932468192000 = -1 · 28 · 35 · 53 · 137	Discriminant
Eigenvalues	2- 3+ 5-  3  3 13-  3  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-60613,-5821103]	[a1,a2,a3,a4,a6]
j	-769623354048512/15247889631	j-invariant
L	2.1273828283961	L(r)(E,1)/r!
Ω	0.15195591631401	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	15600cx1 62400dm1 11700y1 3900l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3900g1

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

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Quadratic twists for elliptic curve 3900g1

-4	8	-3	5	13
15600cx1	62400dm1	11700y1	3900l1	50700p1

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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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