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	8190bn	Isogeny class
Conductor	8190	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	7239919443072825600 = 28 · 314 · 52 · 72 · 136	Discriminant
Eigenvalues	2- 3- 5- 7+  4 13+ -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-768947,225132819]	[a1,a2,a3,a4,a6]
j	68973914606086620649/9931302391046400	j-invariant
L	3.6173630122234	L(r)(E,1)/r!
Ω	0.22608518826396	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	65520ei2 2730a2 40950bs2 57330ek2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190bn2

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

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Quadratic twists for elliptic curve 8190bn2

-4	-3	5	-7	13
65520ei2	2730a2	40950bs2	57330ek2	106470bv2

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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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