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	8190by	Isogeny class
Conductor	8190	Conductor
∏ cp	128	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	-13931190000 = -1 · 24 · 37 · 54 · 72 · 13	Discriminant
Eigenvalues	2- 3- 5- 7-  4 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,58,-5691]	[a1,a2,a3,a4,a6]
j	30080231/19110000	j-invariant
L	4.6863116512099	L(r)(E,1)/r!
Ω	0.58578895640124	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	65520dz1 2730f1 40950x1 57330ea1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190by1

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	-4	6	4	-2	2	-4	-8	-6	12	-10	0	8	14	0	4	-6	-10

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Quadratic twists for elliptic curve 8190by1

-4	-3	5	-7	13
65520dz1	2730f1	40950x1	57330ea1	106470bi1

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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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