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	8190bm	Isogeny class
Conductor	8190	Conductor
∏ cp	672	Product of Tamagawa factors cp
deg	3440640	Modular degree for the optimal curve
Δ	1.9567845231428E+23	Discriminant
Eigenvalues	2- 3- 5- 7+  4 13+  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1250011292,-17010250110241]	[a1,a2,a3,a4,a6]
j	296304326013275547793071733369/268420373544960000000	j-invariant
L	4.2656024382371	L(r)(E,1)/r!
Ω	0.025390490703792	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	65520eh1 2730k1 40950br1 57330ej1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190bm1

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 elliptic curve 8190bm1

-4	-3	5	-7	13
65520eh1	2730k1	40950br1	57330ej1	106470bt1

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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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