Atkin-Lehner |
11+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
124553a |
Isogeny class |
Conductor |
124553 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-21254713854664147 = -1 · 114 · 136 · 673 |
Discriminant |
Eigenvalues |
2 2 2 2 11+ 13+ 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,68558,-1232281] |
[a1,a2,a3,a4,a6] |
Generators |
[318727426344445678980:7328076428274109735481:945173657564072000] |
Generators of the group modulo torsion |
j |
7382979842048/4403471083 |
j-invariant |
L |
25.786640607978 |
L(r)(E,1)/r! |
Ω |
0.22344759662965 |
Real period |
R |
28.850881590279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
737a1 |
Quadratic twists by: 13 |