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	8190bq	Isogeny class
Conductor	8190	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	4259600654400 = 26 · 38 · 52 · 74 · 132	Discriminant
Eigenvalues	2- 3- 5- 7+ -4 13- -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-76442,8153241]	[a1,a2,a3,a4,a6]
Generators	[71:1719:1]	Generators of the group modulo torsion
j	67762119444423769/5843073600	j-invariant
L	6.394880376779	L(r)(E,1)/r!
Ω	0.7433190816861	Real period
R	0.71692858584514	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	65520eo2 2730b2 40950bm2 57330eb2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190bq2

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	-	-6	4	4	-2	-4	-10	2	4	0	2	-4	-10	-8	-16	6	16	-4	10	-2

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Quadratic twists for elliptic curve 8190bq2

-4	-3	5	-7	13
65520eo2	2730b2	40950bm2	57330eb2	106470bs2

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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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