Atkin-Lehner |
2- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23600m |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-1979711488000000 = -1 · 231 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 -1 -3 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22192,1714112] |
[a1,a2,a3,a4,a6] |
j |
18884848247/30932992 |
j-invariant |
L |
2.5486670307106 |
L(r)(E,1)/r! |
Ω |
0.31858337883883 |
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 |
2950q1 94400cz1 944g1 |
Quadratic twists by: -4 8 5 |