Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560d |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
151797888000 = 210 · 34 · 53 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13661,618861] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:1089:1] |
Generators of the group modulo torsion |
j |
275361373935616/148240125 |
j-invariant |
L |
2.9377622951665 |
L(r)(E,1)/r! |
Ω |
1.0145139039627 |
Real period |
R |
1.4478669457815 |
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 |
10560cg1 1320n1 31680ca1 52800cl1 |
Quadratic twists by: -4 8 -3 5 |