Cremona's table of elliptic curves

15210 = 2 · 3² · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 13+	Signs for the Atkin-Lehner involutions
Class	15210y	Isogeny class
Conductor	15210	Conductor
∏ cp	128	Product of Tamagawa factors cp
deg	860160	Modular degree for the optimal curve
Δ	-1.9819860229734E+21	Discriminant
Eigenvalues	2- 3+ 5+ -2  4 13+  4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,2840182,1091878857]	[a1,a2,a3,a4,a6]
j	19441890357117957/15208161280000	j-invariant
L	3.0328290099096	L(r)(E,1)/r!
Ω	0.094775906559676	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121680cj1 15210c1 76050f1 1170a1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 15210y1

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

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Quadratic twists for elliptic curve 15210y1

-4	-3	5	13
121680cj1	15210c1	76050f1	1170a1

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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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