Atkin-Lehner |
2- 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
93456x |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5636356780032 = 212 · 33 · 114 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7395,216482] |
[a1,a2,a3,a4,a6] |
Generators |
[23:242:1] [34:66:1] |
Generators of the group modulo torsion |
j |
404403154875/50965321 |
j-invariant |
L |
11.57068081237 |
L(r)(E,1)/r! |
Ω |
0.73336180906059 |
Real period |
R |
1.9721985570507 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5841a2 93456r2 |
Quadratic twists by: -4 -3 |