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	8190br	Isogeny class
Conductor	8190	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	85593231360 = 212 · 38 · 5 · 72 · 13	Discriminant
Eigenvalues	2- 3- 5- 7-  0 13+ -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-5567,-157849]	[a1,a2,a3,a4,a6]
Generators	[-41:34:1]	Generators of the group modulo torsion
j	26168974809769/117411840	j-invariant
L	6.8624878205282	L(r)(E,1)/r!
Ω	0.55286308161395	Real period
R	1.0343862776559	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	65520dk1 2730m1 40950bb1 57330ef1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190br1

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

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Quadratic twists for elliptic curve 8190br1

-4	-3	5	-7	13
65520dk1	2730m1	40950bb1	57330ef1	106470t1

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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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