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	15210bn	Isogeny class
Conductor	15210	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	214423447935937500 = 22 · 37 · 58 · 137	Discriminant
Eigenvalues	2- 3- 5-  0  4 13+  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1285277,-560081271]	[a1,a2,a3,a4,a6]
j	66730743078481/60937500	j-invariant
L	4.53757884747	L(r)(E,1)/r!
Ω	0.14179933898344	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	121680ep4 5070a4 76050bc4 1170d3	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 15210bn3

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

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Quadratic twists for elliptic curve 15210bn3

-4	-3	5	13
121680ep4	5070a4	76050bc4	1170d3

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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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