Atkin-Lehner |
2- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400bx |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
1737236800000000 = 212 · 58 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3 5- 2 -2 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-94000,10910000] |
[a1,a2,a3,a4,a6] |
j |
57409966080/1085773 |
j-invariant |
L |
5.6624593145652 |
L(r)(E,1)/r! |
Ω |
0.47187161871253 |
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 |
5525i1 88400bn1 |
Quadratic twists by: -4 5 |