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	15162ba	Isogeny class
Conductor	15162	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-13945916922612822 = -1 · 2 · 32 · 74 · 199	Discriminant
Eigenvalues	2- 3-  0 7+ -6  2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,52157,3360263]	[a1,a2,a3,a4,a6]
Generators	[13812321942:-346635153917:28652616]	Generators of the group modulo torsion
j	48627125/43218	j-invariant
L	8.2404409044152	L(r)(E,1)/r!
Ω	0.25833915332608	Real period
R	15.948881147748	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121296by2 45486e2 106134bt2 15162b2	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 15162ba2

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

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Quadratic twists for elliptic curve 15162ba2

-4	-3	-7	-19
121296by2	45486e2	106134bt2	15162b2

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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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