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	15210u	Isogeny class
Conductor	15210	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	967680	Modular degree for the optimal curve
Δ	-1.4405962157135E+22	Discriminant
Eigenvalues	2+ 3- 5- -2  0 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,6080166,-218931660]	[a1,a2,a3,a4,a6]
Generators	[2116:147662:1]	Generators of the group modulo torsion
j	7064514799444439/4094064000000	j-invariant
L	3.5226686974364	L(r)(E,1)/r!
Ω	0.074297250034966	Real period
R	1.9755490590043	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121680ev1 5070t1 76050ej1 1170k1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 15210u1

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	0	+	0	-2	6	0	-8	-2	6	-4	0	6	0	14	4	0	4	-16	-12	-6	4

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Quadratic twists for elliptic curve 15210u1

-4	-3	5	13
121680ev1	5070t1	76050ej1	1170k1

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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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