Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025t |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2440384453125 = 310 · 57 · 232 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 1 -6 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3450,-20844] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:112:1] |
Generators of the group modulo torsion |
j |
753664/405 |
j-invariant |
L |
3.6460006739047 |
L(r)(E,1)/r! |
Ω |
0.66301503465691 |
Real period |
R |
1.3747805435513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999986263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39675bb1 23805j1 119025s1 |
Quadratic twists by: -3 5 -23 |