Atkin-Lehner |
2- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23650o |
Isogeny class |
Conductor |
23650 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
162432 |
Modular degree for the optimal curve |
Δ |
-416542720000000 = -1 · 218 · 57 · 11 · 432 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11- -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-183438,30179531] |
[a1,a2,a3,a4,a6] |
Generators |
[225:487:1] |
Generators of the group modulo torsion |
j |
-43688964783576601/26658734080 |
j-invariant |
L |
11.258787585778 |
L(r)(E,1)/r! |
Ω |
0.52537494753603 |
Real period |
R |
0.59527790784791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4730c1 |
Quadratic twists by: 5 |