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	15162h	Isogeny class
Conductor	15162	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	6480	Modular degree for the optimal curve
Δ	-213966144 = -1 · 26 · 33 · 73 · 192	Discriminant
Eigenvalues	2+ 3+  3 7- -3 -2  3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-121,-923]	[a1,a2,a3,a4,a6]
Generators	[18:47:1]	Generators of the group modulo torsion
j	-549754417/592704	j-invariant
L	3.7494977004633	L(r)(E,1)/r!
Ω	0.68960585724803	Real period
R	0.90619341010873	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	121296ct1 45486bo1 106134bk1 15162bf1	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 15162h1

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
+	+	3	-	-3	-2	3	-	0	0	4	-5	3	-10	0	-12	-6	8	-8	0	14	4	0	3	-8

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Quadratic twists for elliptic curve 15162h1

-4	-3	-7	-19
121296ct1	45486bo1	106134bk1	15162bf1

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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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