Cremona's table of elliptic curves

10560 = 2⁶ · 3 · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 11-	Signs for the Atkin-Lehner involutions
Class	10560l	Isogeny class
Conductor	10560	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	-17249760000000000 = -1 · 214 · 34 · 510 · 113	Discriminant
Eigenvalues	2+ 3+ 5- -2 11-  0  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-9105,6330897]	[a1,a2,a3,a4,a6]
Generators	[24:2475:1]	Generators of the group modulo torsion
j	-5095552972624/1052841796875	j-invariant
L	3.8746977551573	L(r)(E,1)/r!
Ω	0.31781003692593	Real period
R	0.40639557229805	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	10560ch2 1320c2 31680k2 52800cw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560l2

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	4	-4	4	-6	0	-6	10	-2	-4	2	-12	6	-8	0	-8	-8	18	14	14

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Quadratic twists for elliptic curve 10560l2

-4	8	-3	5	-11
10560ch2	1320c2	31680k2	52800cw2	116160by2

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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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