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	10560bv	Isogeny class
Conductor	10560	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	1.368576E+22	Discriminant
Eigenvalues	2- 3+ 5- -4 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-117305985,489028680225]	[a1,a2,a3,a4,a6]
Generators	[42395:8468300:1]	Generators of the group modulo torsion
j	680995599504466943307169/52207031250000000	j-invariant
L	3.3947931428147	L(r)(E,1)/r!
Ω	0.11962062621114	Real period
R	7.0949159236607	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	10560bg3 2640u3 31680db4 52800gm4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560bv3

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
-	+	-	-4	+	-2	2	4	4	-6	0	10	-6	-12	4	6	-4	-10	-12	4	10	-4	4	10	18

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Quadratic twists for elliptic curve 10560bv3

-4	8	-3	5	-11
10560bg3	2640u3	31680db4	52800gm4	116160hc4

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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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