Atkin-Lehner |
2- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400ch |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-13144256000000 = -1 · 212 · 56 · 593 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 0 0 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51700,4528000] |
[a1,a2,a3,a4,a6] |
j |
-238789577664/205379 |
j-invariant |
L |
1.4075177990037 |
L(r)(E,1)/r! |
Ω |
0.70375893536433 |
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 |
94400da1 47200m1 3776q1 |
Quadratic twists by: -4 8 5 |