Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400gd |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-720600125000000 = -1 · 26 · 59 · 78 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20008,1696262] |
[a1,a2,a3,a4,a6] |
j |
-153664/125 |
j-invariant |
L |
1.8612944700551 |
L(r)(E,1)/r! |
Ω |
0.46532361483864 |
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 |
78400fz1 39200bl1 15680cz1 78400hh1 |
Quadratic twists by: -4 8 5 -7 |