Atkin-Lehner |
2- 5+ 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
127280k |
Isogeny class |
Conductor |
127280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6289920 |
Modular degree for the optimal curve |
Δ |
1.6702392578125E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ 5 3 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5888381,5138189425] |
[a1,a2,a3,a4,a6] |
j |
88200597796561716895744/6524372100830078125 |
j-invariant |
L |
1.1720609735052 |
L(r)(E,1)/r! |
Ω |
0.14650786081874 |
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 |
31820a1 |
Quadratic twists by: -4 |