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	15162w	Isogeny class
Conductor	15162	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	115200	Modular degree for the optimal curve
Δ	8344371344278032 = 24 · 35 · 74 · 197	Discriminant
Eigenvalues	2- 3+ -2 7- -4  2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-58309,3146555]	[a1,a2,a3,a4,a6]
j	466025146777/177366672	j-invariant
L	1.5097828913934	L(r)(E,1)/r!
Ω	0.37744572284835	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	121296cs1 45486t1 106134da1 798d1	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 15162w1

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	2	-2	-	-4	-2	-4	6	10	-4	-8	-10	-12	-2	8	16	10	8	0	10	2

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Quadratic twists for elliptic curve 15162w1

-4	-3	-7	-19
121296cs1	45486t1	106134da1	798d1

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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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