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	3885a	Isogeny class
Conductor	3885	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	95603538836925 = 316 · 52 · 74 · 37	Discriminant
Eigenvalues	-1 3+ 5+ 7+  4  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-11631,-113472]	[a1,a2,a3,a4,a6]
j	174011204426291569/95603538836925	j-invariant
L	0.98305935634703	L(r)(E,1)/r!
Ω	0.49152967817352	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	62160cp3 11655l4 19425s3 27195u3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3885a3

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	+	+	+	4	2	6	0	8	6	4	-	-6	-12	8	-10	0	10	12	8	2	-16	-4	-18	14

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Quadratic twists for elliptic curve 3885a3

-4	-3	5	-7
62160cp3	11655l4	19425s3	27195u3

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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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