Cremona's table of elliptic curves

3135 = 3 · 5 · 11 · 19

Field	Data	Notes
Atkin-Lehner	3- 5- 11- 19+	Signs for the Atkin-Lehner involutions
Class	3135h	Isogeny class
Conductor	3135	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	-29908366503675 = -1 · 3 · 52 · 115 · 195	Discriminant
Eigenvalues	-2 3- 5- -2 11- -1  3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-285480,-58805794]	[a1,a2,a3,a4,a6]
j	-2573074125787029999616/29908366503675	j-invariant
L	1.0327024499738	L(r)(E,1)/r!
Ω	0.10327024499738	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	50160bk2 9405g2 15675i2 34485s2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 3135h2

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
-2	-	-	-2	-	-1	3	+	-6	0	2	8	12	4	-12	-1	-5	12	-12	-3	14	5	9	15	8

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Quadratic twists for elliptic curve 3135h2

-4	-3	5	-11	-19
50160bk2	9405g2	15675i2	34485s2	59565m2

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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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