Atkin-Lehner |
2+ 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
117056f |
Isogeny class |
Conductor |
117056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-475625684992 = -1 · 223 · 312 · 59 |
Discriminant |
Eigenvalues |
2+ 2 0 -5 -3 1 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,-41247] |
[a1,a2,a3,a4,a6] |
j |
-1838265625/1814368 |
j-invariant |
L |
2.8885006041406 |
L(r)(E,1)/r! |
Ω |
0.36106259720956 |
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 |
117056n1 3658a1 |
Quadratic twists by: -4 8 |