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	15210r	Isogeny class
Conductor	15210	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	194688	Modular degree for the optimal curve
Δ	-657654897927905280 = -1 · 213 · 39 · 5 · 138	Discriminant
Eigenvalues	2+ 3- 5-  2 -1 13+ -2  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-64674,39543700]	[a1,a2,a3,a4,a6]
Generators	[209:5822:1]	Generators of the group modulo torsion
j	-50308609/1105920	j-invariant
L	4.2353281631688	L(r)(E,1)/r!
Ω	0.24146662421923	Real period
R	4.3850037006807	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	121680ew1 5070l1 76050en1 15210bg1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 15210r1

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	-1	+	-2	6	3	1	-3	-5	-10	5	-3	-14	5	-10	0	-4	-2	5	6	-10	-10

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Quadratic twists for elliptic curve 15210r1

-4	-3	5	13
121680ew1	5070l1	76050en1	15210bg1

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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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