Atkin-Lehner |
2- 5+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550bn |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
1563965849600000000 = 222 · 58 · 73 · 112 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-411838,-82059708] |
[a1,a2,a3,a4,a6] |
Generators |
[1372:-44686:1] |
Generators of the group modulo torsion |
j |
494405166602590489/100093814374400 |
j-invariant |
L |
6.8687603913945 |
L(r)(E,1)/r! |
Ω |
0.19113477564696 |
Real period |
R |
0.81674404984593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710b1 |
Quadratic twists by: 5 |