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	3135d	Isogeny class
Conductor	3135	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	42230654296875 = 32 · 510 · 113 · 192	Discriminant
Eigenvalues	-1 3- 5+  4 11-  6  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-62651,-6032994]	[a1,a2,a3,a4,a6]
j	27196196312929459249/42230654296875	j-invariant
L	1.8107532346734	L(r)(E,1)/r!
Ω	0.30179220577889	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	50160bc2 9405k2 15675n2 34485n2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 3135d2

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	-	6	0	-	-2	4	6	10	0	-8	10	-10	-6	2	-8	-2	-4	-16	-12	6	-6

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Quadratic twists for elliptic curve 3135d2

-4	-3	5	-11	-19
50160bc2	9405k2	15675n2	34485n2	59565e2

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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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