Cremona's table of elliptic curves

3885 = 3 · 5 · 7 · 37

Field	Data	Notes
Atkin-Lehner	3- 5+ 7- 37+	Signs for the Atkin-Lehner involutions
Class	3885g	Isogeny class
Conductor	3885	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	14146664175 = 310 · 52 · 7 · 372	Discriminant
Eigenvalues	-1 3- 5+ 7- -2 -4  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-746,5301]	[a1,a2,a3,a4,a6]
Generators	[91:-878:1]	Generators of the group modulo torsion
j	45917324980129/14146664175	j-invariant
L	2.5725993051486	L(r)(E,1)/r!
Ω	1.1598255818967	Real period
R	0.22180915348854	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	62160be2 11655n2 19425b2 27195k2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3885g2

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

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Quadratic twists for elliptic curve 3885g2

-4	-3	5	-7
62160be2	11655n2	19425b2	27195k2

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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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