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	8190bl	Isogeny class
Conductor	8190	Conductor
∏ cp	378	Product of Tamagawa factors cp
Δ	-7.4953986500231E+26	Discriminant
Eigenvalues	2- 3- 5+ 7-  3 13- -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-454528778,3955711147337]	[a1,a2,a3,a4,a6]
Generators	[-22127:1794103:1]	Generators of the group modulo torsion
j	-14245586655234650511684983641/1028175397808386133196800	j-invariant
L	6.3311179802557	L(r)(E,1)/r!
Ω	0.049687628279901	Real period
R	3.0337713734825	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	65520ct3 910e3 40950u3 57330ey3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190bl3

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
-	-	+	-	3	-	-6	2	-9	-6	5	-7	-9	-10	-3	0	-12	-1	-13	12	11	17	6	6	-19

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Quadratic twists for elliptic curve 8190bl3

-4	-3	5	-7	13
65520ct3	910e3	40950u3	57330ey3	106470cl3

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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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