Atkin-Lehner |
11- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
108779f |
Isogeny class |
Conductor |
108779 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
730752 |
Modular degree for the optimal curve |
Δ |
722850086205269 = 1110 · 29 · 312 |
Discriminant |
Eigenvalues |
0 0 -2 3 11- 7 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-380666,-90389874] |
[a1,a2,a3,a4,a6] |
j |
235195564032/27869 |
j-invariant |
L |
1.5376465454381 |
L(r)(E,1)/r! |
Ω |
0.19220585824739 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108779b1 |
Quadratic twists by: -11 |