Atkin-Lehner |
13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
58357b |
Isogeny class |
Conductor |
58357 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
795960 |
Modular degree for the optimal curve |
Δ |
-892130687591940277 = -1 · 133 · 678 |
Discriminant |
Eigenvalues |
-1 -2 2 1 -4 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-119052,-48125387] |
[a1,a2,a3,a4,a6] |
j |
-459553/2197 |
j-invariant |
L |
1.0464582473454 |
L(r)(E,1)/r! |
Ω |
0.11627313843333 |
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 |
58357a1 |
Quadratic twists by: -67 |