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	3885h	Isogeny class
Conductor	3885	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	27745356687890625 = 32 · 58 · 78 · 372	Discriminant
Eigenvalues	-1 3- 5- 7+ -4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-96975,-8427168]	[a1,a2,a3,a4,a6]
j	100856375520095084401/27745356687890625	j-invariant
L	1.1045732000104	L(r)(E,1)/r!
Ω	0.2761433000026	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	62160bx6 11655f5 19425f5 27195f6	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3885h5

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	2	-4	0	-2	8	-	-6	4	0	6	4	-2	4	8	10	-8	4	10	2

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Quadratic twists for elliptic curve 3885h5

-4	-3	5	-7
62160bx6	11655f5	19425f5	27195f6

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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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