Atkin-Lehner |
2- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400cg |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-944000000 = -1 · 210 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 -4 6 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,200,-1000] |
[a1,a2,a3,a4,a6] |
j |
55296/59 |
j-invariant |
L |
6.7945338077398 |
L(r)(E,1)/r! |
Ω |
0.84931672666368 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400ba1 23600g1 3776s1 |
Quadratic twists by: -4 8 5 |