Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900df |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
4.3075658960563E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27588000,-45973571875] |
[a1,a2,a3,a4,a6] |
Generators |
[-69240629078219566:-796663748571391899:35397401469704] |
Generators of the group modulo torsion |
j |
57537462272/10673289 |
j-invariant |
L |
6.8353190034872 |
L(r)(E,1)/r! |
Ω |
0.066718827861046 |
Real period |
R |
25.612406663176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36300x1 108900dc1 9900v1 |
Quadratic twists by: -3 5 -11 |