Cremona's table of elliptic curves

86490 = 2 · 3² · 5 · 31²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 31-	Signs for the Atkin-Lehner involutions
Class	86490i	Isogeny class
Conductor	86490	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-5.6783618288838E+21	Discriminant
Eigenvalues	2+ 3+ 5- -1  3  4 -6 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-6164034,6918282260]	[a1,a2,a3,a4,a6]
Generators	[251860:13236775:64]	Generators of the group modulo torsion
j	-1482713947827/325058560	j-invariant
L	5.3847072628153	L(r)(E,1)/r!
Ω	0.12916908697661	Real period
R	5.2109093841589	Regulator
r	1	Rank of the group of rational points
S	1.0000000005679	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	86490bw1 2790f2	Quadratic twists by: -3 -31

Hecke Eigenvalues for elliptic curve 86490i2

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
+	+	-	-1	3	4	-6	-1	-3	0	-	4	0	1	12	9	0	10	-10	-15	7	-5	-6	15	-16

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Quadratic twists for elliptic curve 86490i2

-3	-31
86490bw1	2790f2

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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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