Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
52668y |
Isogeny class |
Conductor |
52668 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
1.7182728023244E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-748632,149612132] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:-12474:1] |
Generators of the group modulo torsion |
j |
248634493714898944/92071373581341 |
j-invariant |
L |
7.5274987442338 |
L(r)(E,1)/r! |
Ω |
0.20029847128403 |
Real period |
R |
0.20878560480155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17556e1 |
Quadratic twists by: -3 |