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	15210n	Isogeny class
Conductor	15210	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-5404790416896000 = -1 · 212 · 37 · 53 · 136	Discriminant
Eigenvalues	2+ 3- 5+  4  0 13+ -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-20565,3719925]	[a1,a2,a3,a4,a6]
j	-273359449/1536000	j-invariant
L	1.4839295213368	L(r)(E,1)/r!
Ω	0.3709823803342	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121680dz3 5070v3 76050fb3 90c3	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 15210n3

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	+	-6	4	0	6	-8	-2	-6	-4	0	6	0	-10	4	0	-2	8	12	18	-2

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Quadratic twists for elliptic curve 15210n3

-4	-3	5	13
121680dz3	5070v3	76050fb3	90c3

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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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