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	15162q	Isogeny class
Conductor	15162	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	10368	Modular degree for the optimal curve
Δ	-8488779264 = -1 · 29 · 38 · 7 · 192	Discriminant
Eigenvalues	2- 3+ -1 7+  0 -5  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,59,-4405]	[a1,a2,a3,a4,a6]
Generators	[47:300:1]	Generators of the group modulo torsion
j	62851031/23514624	j-invariant
L	5.3294647622035	L(r)(E,1)/r!
Ω	0.61265505325002	Real period
R	0.48327582398499	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	121296de1 45486i1 106134cr1 15162j1	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 15162q1

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	+	0	-5	2	-	5	-8	2	4	12	6	-2	-4	1	11	8	-5	-2	-8	3	0	6

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Quadratic twists for elliptic curve 15162q1

-4	-3	-7	-19
121296de1	45486i1	106134cr1	15162j1

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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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