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	8190h	Isogeny class
Conductor	8190	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	14126226660 = 22 · 38 · 5 · 72 · 133	Discriminant
Eigenvalues	2+ 3- 5+ 7+ -2 13+  4  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-18495,-963495]	[a1,a2,a3,a4,a6]
j	959781554388721/19377540	j-invariant
L	0.81877654242189	L(r)(E,1)/r!
Ω	0.40938827121094	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	65520cw1 2730bb1 40950ep1 57330cu1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190h1

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

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Quadratic twists for elliptic curve 8190h1

-4	-3	5	-7	13
65520cw1	2730bb1	40950ep1	57330cu1	106470ft1

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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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