Atkin-Lehner |
7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23177b |
Isogeny class |
Conductor |
23177 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-289536424331 = -1 · 76 · 113 · 432 |
Discriminant |
Eigenvalues |
-2 -1 1 7- 11+ 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-49310,-4198230] |
[a1,a2,a3,a4,a6] |
j |
-112706583998464/2461019 |
j-invariant |
L |
0.6407586781419 |
L(r)(E,1)/r! |
Ω |
0.16018966953546 |
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 |
473a1 |
Quadratic twists by: -7 |