Atkin-Lehner |
5+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
119935c |
Isogeny class |
Conductor |
119935 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
205056 |
Modular degree for the optimal curve |
Δ |
170290549295 = 5 · 177 · 83 |
Discriminant |
Eigenvalues |
1 -2 5+ 0 3 7 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12289,522921] |
[a1,a2,a3,a4,a6] |
j |
8502154921/7055 |
j-invariant |
L |
2.0210188809486 |
L(r)(E,1)/r! |
Ω |
1.0105091162185 |
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 |
7055b1 |
Quadratic twists by: 17 |