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	15162l	Isogeny class
Conductor	15162	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	27648	Modular degree for the optimal curve
Δ	-758755968768 = -1 · 28 · 32 · 7 · 196	Discriminant
Eigenvalues	2+ 3- -2 7+ -4 -6  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1452,-47126]	[a1,a2,a3,a4,a6]
Generators	[449:9255:1]	Generators of the group modulo torsion
j	-7189057/16128	j-invariant
L	3.0590491186812	L(r)(E,1)/r!
Ω	0.36178557742264	Real period
R	4.2277101542767	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	121296cj1 45486bh1 106134o1 42a1	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 15162l1

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

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Quadratic twists for elliptic curve 15162l1

-4	-3	-7	-19
121296cj1	45486bh1	106134o1	42a1

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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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