Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
57096t |
Isogeny class |
Conductor |
57096 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
63902685137616 = 24 · 318 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33114,-2287235] |
[a1,a2,a3,a4,a6] |
Generators |
[285:3380:1] |
Generators of the group modulo torsion |
j |
344279476959232/5478625269 |
j-invariant |
L |
6.6359541826774 |
L(r)(E,1)/r! |
Ω |
0.35425464107972 |
Real period |
R |
4.6830396931116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114192s1 19032j1 |
Quadratic twists by: -4 -3 |