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	15210bp	Isogeny class
Conductor	15210	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	24192	Modular degree for the optimal curve
Δ	-140541540750 = -1 · 2 · 39 · 53 · 134	Discriminant
Eigenvalues	2- 3- 5-  2  3 13+ -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-7637,-255589]	[a1,a2,a3,a4,a6]
j	-2365581049/6750	j-invariant
L	4.5955933224754	L(r)(E,1)/r!
Ω	0.25531074013752	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	121680ey1 5070i1 76050bn1 15210j1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 15210bp1

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	3	+	-6	2	-3	-3	5	-7	-6	-1	3	6	9	2	8	12	14	5	6	18	14

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Quadratic twists for elliptic curve 15210bp1

-4	-3	5	13
121680ey1	5070i1	76050bn1	15210j1

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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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