Atkin-Lehner |
2- 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
111540s |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
47174400 |
Modular degree for the optimal curve |
Δ |
3.3494580524487E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-179647225,289183527502] |
[a1,a2,a3,a4,a6] |
j |
3778984410690076672/1974078369140625 |
j-invariant |
L |
0.33286415126022 |
L(r)(E,1)/r! |
Ω |
0.047551987199183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111540j1 |
Quadratic twists by: 13 |