Atkin-Lehner |
2+ 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
57850g |
Isogeny class |
Conductor |
57850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-162683456000000000 = -1 · 215 · 59 · 134 · 89 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 5 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-301125,-66621875] |
[a1,a2,a3,a4,a6] |
j |
-193261959523187281/10411741184000 |
j-invariant |
L |
0.81267030776042 |
L(r)(E,1)/r! |
Ω |
0.10158378801469 |
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 |
11570f1 |
Quadratic twists by: 5 |