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	64	Product of Tamagawa factors cp
Δ	2987601627024 = 24 · 34 · 72 · 196	Discriminant
Eigenvalues	2+ 3- -2 7+ -4 -6  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-30332,-2034070]	[a1,a2,a3,a4,a6]
Generators	[-99:79:1]	Generators of the group modulo torsion
j	65597103937/63504	j-invariant
L	3.0590491186812	L(r)(E,1)/r!
Ω	0.36178557742264	Real period
R	2.1138550771384	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	121296cj2 45486bh2 106134o2 42a2	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 15162l2

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 15162l2

-4	-3	-7	-19
121296cj2	45486bh2	106134o2	42a2

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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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