Atkin-Lehner |
2- 3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
113520bn |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-215778816000 = -1 · 212 · 34 · 53 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1264,-13740] |
[a1,a2,a3,a4,a6] |
Generators |
[34:264:1] |
Generators of the group modulo torsion |
j |
54483042671/52680375 |
j-invariant |
L |
8.1030380756495 |
L(r)(E,1)/r! |
Ω |
0.54432487543364 |
Real period |
R |
1.8608000529096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7095a1 |
Quadratic twists by: -4 |