Atkin-Lehner |
3- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
29205m |
Isogeny class |
Conductor |
29205 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
66532640625 = 38 · 56 · 11 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11+ 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1247,11846] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:1427:8] [-14:169:1] |
Generators of the group modulo torsion |
j |
293946977449/91265625 |
j-invariant |
L |
5.2915090745088 |
L(r)(E,1)/r! |
Ω |
1.0189318824984 |
Real period |
R |
0.86553202842399 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735h1 |
Quadratic twists by: -3 |