Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520bo |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-147295903416320000 = -1 · 235 · 54 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 2 -5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,105919,12806881] |
[a1,a2,a3,a4,a6] |
j |
73087061741/81920000 |
j-invariant |
L |
1.7335780869063 |
L(r)(E,1)/r! |
Ω |
0.21669737140335 |
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 |
115520c1 28880bb1 115520bl1 |
Quadratic twists by: -4 8 -19 |