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	8190l	Isogeny class
Conductor	8190	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	65536	Modular degree for the optimal curve
Δ	-12821572595220480 = -1 · 232 · 38 · 5 · 7 · 13	Discriminant
Eigenvalues	2+ 3- 5+ 7+ -4 13- -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-195840,-33751040]	[a1,a2,a3,a4,a6]
Generators	[1374432768:-85258016512:357911]	Generators of the group modulo torsion
j	-1139466686381936641/17587891077120	j-invariant
L	2.5616828348231	L(r)(E,1)/r!
Ω	0.11336938031047	Real period
R	11.297948475187	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	65520de1 2730v1 40950eg1 57330ck1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190l1

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

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Quadratic twists for elliptic curve 8190l1

-4	-3	5	-7	13
65520de1	2730v1	40950eg1	57330ck1	106470fz1

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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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