Atkin-Lehner |
2- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
44240n |
Isogeny class |
Conductor |
44240 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
110600000000000 = 212 · 511 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 5 5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93941,11102141] |
[a1,a2,a3,a4,a6] |
j |
22383805528244224/27001953125 |
j-invariant |
L |
5.3233011146749 |
L(r)(E,1)/r! |
Ω |
0.5914779016302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2765a1 |
Quadratic twists by: -4 |