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	4682500669440000 = 220 · 310 · 54 · 112	Discriminant
Eigenvalues	2+ 3- 5-  0 11+ -2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-90465,-9972225]	[a1,a2,a3,a4,a6]
Generators	[-195:540:1]	Generators of the group modulo torsion
j	312341975961049/17862322500	j-invariant
L	5.6236219786714	L(r)(E,1)/r!
Ω	0.27626526727327	Real period
R	1.0177938823393	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	10560bx2 330a2 31680t2 52800a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560z2

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 10560z2

-4	8	-3	5	-11
10560bx2	330a2	31680t2	52800a2	116160dz2

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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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