Atkin-Lehner |
11- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
111683f |
Isogeny class |
Conductor |
111683 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-276340485707 = -1 · 116 · 133 · 71 |
Discriminant |
Eigenvalues |
0 3 2 0 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-484,-25622] |
[a1,a2,a3,a4,a6] |
j |
-7077888/155987 |
j-invariant |
L |
5.0690430979911 |
L(r)(E,1)/r! |
Ω |
0.42242033658424 |
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 |
923a1 |
Quadratic twists by: -11 |