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	8190bm1 8190bm2 8190bm3 8190bm4	Curves in isogeny class
deg	3440640	Modular degree for the optimal curve
Eigenvalues	2- 3- 5- 7+  4 13+  2  8	Hecke eigenvalues for primes less than 20
L	4.2656024382371	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	65520eh 2730k 40950br 57330ej	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 8190bm

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	8	4	2	4	2	-6	-8	-8	-6	0	6	4	-8	6	-8	-12	2	-2

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Quadratic twists for isogeny class 8190bm

-4	-3	5	-7	13
65520eh	2730k	40950br	57330ej	106470bt

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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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