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	128	Product of Tamagawa factors cp
Δ	1.1987201713766E+22	Discriminant
Eigenvalues	2- 3+ 5- -4 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-7819905,6567320097]	[a1,a2,a3,a4,a6]
Generators	[-2661:92340:1]	Generators of the group modulo torsion
j	201738262891771037089/45727545600000000	j-invariant
L	3.3947931428147	L(r)(E,1)/r!
Ω	0.11962062621114	Real period
R	3.5474579618304	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	10560bg2 2640u2 31680db2 52800gm2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560bv2

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 10560bv2

-4	8	-3	5	-11
10560bg2	2640u2	31680db2	52800gm2	116160hc2

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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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