Atkin-Lehner |
3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905ba |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
39911424 |
Modular degree for the optimal curve |
Δ |
9.3426211298314E+26 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-648306135,-6180881475200] |
[a1,a2,a3,a4,a6] |
j |
41336773804526931803116341361/1281566684476192302890625 |
j-invariant |
L |
0.23981078801841 |
L(r)(E,1)/r! |
Ω |
0.029976348454166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635o1 |
Quadratic twists by: -3 |