Atkin-Lehner |
2- 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
34450l |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-2328820000000 = -1 · 28 · 57 · 133 · 53 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -5 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-963,-74719] |
[a1,a2,a3,a4,a6] |
j |
-6321363049/149044480 |
j-invariant |
L |
5.6664932642149 |
L(r)(E,1)/r! |
Ω |
0.35415582901382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6890b1 |
Quadratic twists by: 5 |