Atkin-Lehner |
3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33825x |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
105703125 = 3 · 57 · 11 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5+ 4 11- 4 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-258,-1606] |
[a1,a2,a3,a4,a6] |
j |
122023936/6765 |
j-invariant |
L |
2.3899159383645 |
L(r)(E,1)/r! |
Ω |
1.194957969184 |
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 |
101475bi1 6765d1 |
Quadratic twists by: -3 5 |