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	15210bo	Isogeny class
Conductor	15210	Conductor
∏ cp	162	Product of Tamagawa factors cp
Δ	-38058732518976000 = -1 · 29 · 36 · 53 · 138	Discriminant
Eigenvalues	2- 3- 5- -1 -3 13+  6  5	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,83623,-1232071]	[a1,a2,a3,a4,a6]
j	108750551/64000	j-invariant
L	3.8535277873131	L(r)(E,1)/r!
Ω	0.21408487707295	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	121680es2 1690c2 76050be2 15210i2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 15210bo2

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
-	-	-	-1	-3	+	6	5	0	0	-4	11	-6	2	3	9	0	8	-16	-6	14	-16	6	-9	-10

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Quadratic twists for elliptic curve 15210bo2

-4	-3	5	13
121680es2	1690c2	76050be2	15210i2

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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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