Cremona's table of elliptic curves

8190 = 2 · 3² · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 13-	Signs for the Atkin-Lehner involutions
Class	8190by	Isogeny class
Conductor	8190	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	266225040900 = 22 · 38 · 52 · 74 · 132	Discriminant
Eigenvalues	2- 3- 5- 7-  4 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4442,-110091]	[a1,a2,a3,a4,a6]
j	13293525831769/365192100	j-invariant
L	4.6863116512099	L(r)(E,1)/r!
Ω	0.58578895640124	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	65520dz2 2730f2 40950x2 57330ea2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190by2

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
-	-	-	-	4	-	2	4	-4	6	4	-2	2	-4	-8	-6	12	-10	0	8	14	0	4	-6	-10

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Quadratic twists for elliptic curve 8190by2

-4	-3	5	-7	13
65520dz2	2730f2	40950x2	57330ea2	106470bi2

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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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