Atkin-Lehner |
2+ 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312t |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
593820205056 = 214 · 33 · 134 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 3 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2101,-877] |
[a1,a2,a3,a4,a6] |
j |
62630895616/36243909 |
j-invariant |
L |
4.6443758006512 |
L(r)(E,1)/r! |
Ω |
0.77406283175561 |
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 |
117312bu1 7332a1 |
Quadratic twists by: -4 8 |