Atkin-Lehner |
5+ 7+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
117425b |
Isogeny class |
Conductor |
117425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-1535552046875 = -1 · 56 · 74 · 11 · 612 |
Discriminant |
Eigenvalues |
-2 1 5+ 7+ 11+ -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-14008,-645606] |
[a1,a2,a3,a4,a6] |
j |
-19456426971136/98275331 |
j-invariant |
L |
0.8774091237003 |
L(r)(E,1)/r! |
Ω |
0.2193520726861 |
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 |
4697b1 |
Quadratic twists by: 5 |