Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744bc |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8902656 |
Modular degree for the optimal curve |
Δ |
1.1061801430386E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 2 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40615419,-99500122838] |
[a1,a2,a3,a4,a6] |
Generators |
[4486937049599626330877221207:599359343083179616895503731786:223129796265129644386937] |
Generators of the group modulo torsion |
j |
2481470116651671429817/3704574917476352 |
j-invariant |
L |
10.081716201144 |
L(r)(E,1)/r! |
Ω |
0.059808892206458 |
Real period |
R |
42.141376596401 |
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 |
16218p1 14416m1 |
Quadratic twists by: -4 -3 |