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	3885b	Isogeny class
Conductor	3885	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	10800	Modular degree for the optimal curve
Δ	-103209811999875 = -1 · 35 · 53 · 72 · 375	Discriminant
Eigenvalues	0 3+ 5+ 7-  2  5 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-8141,567386]	[a1,a2,a3,a4,a6]
j	-59677458829410304/103209811999875	j-invariant
L	1.0675429683378	L(r)(E,1)/r!
Ω	0.5337714841689	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	62160ce1 11655m1 19425q1 27195s1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3885b1

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
0	+	+	-	2	5	-2	-8	4	3	6	+	-2	-5	-11	-3	5	-2	6	0	2	14	7	-17	-6

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Quadratic twists for elliptic curve 3885b1

-4	-3	5	-7
62160ce1	11655m1	19425q1	27195s1

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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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