Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72864bh |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1996800 |
Modular degree for the optimal curve |
Δ |
1.8881099115444E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11- 3 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2665083,-1538591294] |
[a1,a2,a3,a4,a6] |
Generators |
[-802:9108:1] |
Generators of the group modulo torsion |
j |
5608651298993519048/505859351301117 |
j-invariant |
L |
6.3560972561915 |
L(r)(E,1)/r! |
Ω |
0.1188417657839 |
Real period |
R |
1.7827899742613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72864y1 24288h1 |
Quadratic twists by: -4 -3 |