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	8190bs	Isogeny class
Conductor	8190	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	349792279200 = 25 · 37 · 52 · 7 · 134	Discriminant
Eigenvalues	2- 3- 5- 7- -4 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-806432,278941731]	[a1,a2,a3,a4,a6]
Generators	[521:-171:1]	Generators of the group modulo torsion
j	79560762543506753209/479824800	j-invariant
L	6.7141952821157	L(r)(E,1)/r!
Ω	0.65504552134016	Real period
R	0.51249837327176	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	65520dm4 2730d3 40950bf4 57330em4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190bs3

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

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Quadratic twists for elliptic curve 8190bs3

-4	-3	5	-7	13
65520dm4	2730d3	40950bf4	57330em4	106470bf4

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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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