Atkin-Lehner |
2- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44944f |
Isogeny class |
Conductor |
44944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
117936 |
Modular degree for the optimal curve |
Δ |
18795378237392 = 24 · 537 |
Discriminant |
Eigenvalues |
2- 2 -2 0 4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48689,4146188] |
[a1,a2,a3,a4,a6] |
j |
35995648/53 |
j-invariant |
L |
3.091063738094 |
L(r)(E,1)/r! |
Ω |
0.68690305288556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11236b1 848d2 |
Quadratic twists by: -4 53 |