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
Conductor	8190	Conductor
Count	4	Number of curves in isogeny class
Curves	8190bs1 8190bs2 8190bs3 8190bs4	Curves in isogeny class
deg	20480	Modular degree for the optimal curve
Eigenvalues	2- 3- 5- 7- -4 13+ -2  4	Hecke eigenvalues for primes less than 20
L	6.7141952821157	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	65520dm 2730d 40950bf 57330em	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 8190bs

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 isogeny class 8190bs

-4	-3	5	-7	13
65520dm	2730d	40950bf	57330em	106470bf

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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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