Cremona's table of elliptic curves

15162 = 2 · 3 · 7 · 19²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 19-	Signs for the Atkin-Lehner involutions
Class	15162f	Isogeny class
Conductor	15162	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	13905258272692668 = 22 · 34 · 7 · 1910	Discriminant
Eigenvalues	2+ 3+  2 7+  0 -2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-78344,-6281772]	[a1,a2,a3,a4,a6]
j	1130389181713/295568028	j-invariant
L	1.1635990007181	L(r)(E,1)/r!
Ω	0.29089975017952	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121296dg3 45486bi3 106134bi3 798i4	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 15162f3

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

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Quadratic twists for elliptic curve 15162f3

-4	-3	-7	-19
121296dg3	45486bi3	106134bi3	798i4

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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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