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	8190m	Isogeny class
Conductor	8190	Conductor
∏ cp	288	Product of Tamagawa factors cp
Δ	-6.5538183269486E+22	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-22329315,42444895131]	[a1,a2,a3,a4,a6]
j	-1688971789881664420008241/89901485966373558750	j-invariant
L	0.8709071618923	L(r)(E,1)/r!
Ω	0.10886339523654	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	65520cq7 2730bd8 40950dm7 57330ce7	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190m8

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

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Quadratic twists for elliptic curve 8190m8

-4	-3	5	-7	13
65520cq7	2730bd8	40950dm7	57330ce7	106470fe7

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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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