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	10560z	Isogeny class
Conductor	10560	Conductor
∏ cp	320	Product of Tamagawa factors cp
Δ	-728629862400000000 = -1 · 219 · 35 · 58 · 114	Discriminant
Eigenvalues	2+ 3- 5-  0 11+ -2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,65055,-40547457]	[a1,a2,a3,a4,a6]
Generators	[531:12000:1]	Generators of the group modulo torsion
j	116149984977671/2779502343750	j-invariant
L	5.6236219786714	L(r)(E,1)/r!
Ω	0.13813263363663	Real period
R	0.50889694116966	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	10560bx4 330a4 31680t3 52800a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560z4

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

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Quadratic twists for elliptic curve 10560z4

-4	8	-3	5	-11
10560bx4	330a4	31680t3	52800a3	116160dz3

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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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