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	15210bd	Isogeny class
Conductor	15210	Conductor
∏ cp	210	Product of Tamagawa factors cp
deg	262080	Modular degree for the optimal curve
Δ	-6422411112577200000 = -1 · 27 · 39 · 55 · 138	Discriminant
Eigenvalues	2- 3+ 5-  0 -3 13+  2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-641387,-232123589]	[a1,a2,a3,a4,a6]
Generators	[1141:22244:1]	Generators of the group modulo torsion
j	-1817378667/400000	j-invariant
L	7.7151612824815	L(r)(E,1)/r!
Ω	0.08337172824509	Real period
R	0.44066332824371	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	121680cq1 15210b1 76050d1 15210a1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 15210bd1

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
-	+	-	0	-3	+	2	-2	-1	-5	5	-3	-2	-9	-7	12	-1	-8	4	6	4	1	6	-8	-14

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Quadratic twists for elliptic curve 15210bd1

-4	-3	5	13
121680cq1	15210b1	76050d1	15210a1

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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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