Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
34450q |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
1819390625000000 = 26 · 512 · 133 · 53 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52313,4101031] |
[a1,a2,a3,a4,a6] |
Generators |
[-229:2148:1] |
Generators of the group modulo torsion |
j |
1013288430066121/116441000000 |
j-invariant |
L |
13.618325444255 |
L(r)(E,1)/r! |
Ω |
0.4544901914732 |
Real period |
R |
4.9939931597173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890h1 |
Quadratic twists by: 5 |