Atkin-Lehner |
2- 7+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127568u |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2737152 |
Modular degree for the optimal curve |
Δ |
5.9196055718868E+19 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 6 -3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1076376,218816752] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:18496:1] |
Generators of the group modulo torsion |
j |
33671013182870513689/14452162040739136 |
j-invariant |
L |
5.1178303029146 |
L(r)(E,1)/r! |
Ω |
0.17831444053936 |
Real period |
R |
1.7938221262212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000158439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15946d1 |
Quadratic twists by: -4 |