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	15210o	Isogeny class
Conductor	15210	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	35680061736540000 = 25 · 37 · 54 · 138	Discriminant
Eigenvalues	2+ 3- 5+ -4  0 13+  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-131609880,-581107211424]	[a1,a2,a3,a4,a6]
j	71647584155243142409/10140000	j-invariant
L	0.35658856994833	L(r)(E,1)/r!
Ω	0.044573571243541	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121680dy4 5070w4 76050ew4 1170n3	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 15210o3

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
+	-	+	-4	0	+	2	-4	-8	-2	8	-2	-6	12	0	-10	0	-10	4	-16	6	-8	-4	-14	6

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Quadratic twists for elliptic curve 15210o3

-4	-3	5	13
121680dy4	5070w4	76050ew4	1170n3

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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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