Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896bc |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1177344 |
Modular degree for the optimal curve |
Δ |
116130253232747664 = 24 · 32 · 738 |
Discriminant |
Eigenvalues |
2- 3- -3 0 1 3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129672,-7405731] |
[a1,a2,a3,a4,a6] |
Generators |
[1110:34893:1] |
Generators of the group modulo torsion |
j |
18688/9 |
j-invariant |
L |
6.6177158257765 |
L(r)(E,1)/r! |
Ω |
0.26395343438387 |
Real period |
R |
6.2678818746032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127896z1 |
Quadratic twists by: 73 |