Atkin-Lehner |
5+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
122815g |
Isogeny class |
Conductor |
122815 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
13229568 |
Modular degree for the optimal curve |
Δ |
-9.799002624382E+22 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- 11- 0 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,10834784,6192820072] |
[a1,a2,a3,a4,a6] |
Generators |
[55136:12969687:1] |
Generators of the group modulo torsion |
j |
656210180813090816/457130704296875 |
j-invariant |
L |
2.3265576300252 |
L(r)(E,1)/r! |
Ω |
0.067401273185097 |
Real period |
R |
0.63922235438867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122815e1 |
Quadratic twists by: -11 |