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	15210f	Isogeny class
Conductor	15210	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	6336	Modular degree for the optimal curve
Δ	-33264270 = -1 · 2 · 39 · 5 · 132	Discriminant
Eigenvalues	2+ 3+ 5-  4  5 13+  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,66,170]	[a1,a2,a3,a4,a6]
j	9477/10	j-invariant
L	2.7453179267674	L(r)(E,1)/r!
Ω	1.3726589633837	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	121680da1 15210bb1 76050dr1 15210bc1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 15210f1

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	5	+	2	6	-9	5	3	5	2	-7	-9	-4	-1	-4	12	14	-16	17	6	-4	-2

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Quadratic twists for elliptic curve 15210f1

-4	-3	5	13
121680da1	15210bb1	76050dr1	15210bc1

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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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