Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
91080x |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
13464269874000 = 24 · 37 · 53 · 11 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13962,-609959] |
[a1,a2,a3,a4,a6] |
Generators |
[197:2070:1] |
Generators of the group modulo torsion |
j |
25805905475584/1154344125 |
j-invariant |
L |
8.2506559132286 |
L(r)(E,1)/r! |
Ω |
0.44041564334955 |
Real period |
R |
0.78057474783331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990818 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360bb1 |
Quadratic twists by: -3 |