Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34224bn |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
7954752102137856 = 216 · 311 · 23 · 313 |
Discriminant |
Eigenvalues |
2- 3- -1 3 3 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-494816,133738356] |
[a1,a2,a3,a4,a6] |
Generators |
[388:558:1] |
Generators of the group modulo torsion |
j |
3271115240450170849/1942078149936 |
j-invariant |
L |
7.5771915891762 |
L(r)(E,1)/r! |
Ω |
0.41073859107909 |
Real period |
R |
0.27951094847873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4278l1 102672bo1 |
Quadratic twists by: -4 -3 |