Atkin-Lehner |
2- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119548c |
Isogeny class |
Conductor |
119548 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21513600 |
Modular degree for the optimal curve |
Δ |
1.3099265267752E+26 |
Discriminant |
Eigenvalues |
2- 0 -2 -1 11- 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140879816,333177469284] |
[a1,a2,a3,a4,a6] |
Generators |
[17204:1732478:1] |
Generators of the group modulo torsion |
j |
681826635775730737152/288835693222845197 |
j-invariant |
L |
3.8161753939184 |
L(r)(E,1)/r! |
Ω |
0.052845729354351 |
Real period |
R |
6.0177921772533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999827055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10868e1 |
Quadratic twists by: -11 |