Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600bb |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
93323264000000 = 226 · 56 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 0 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17808,-781888] |
[a1,a2,a3,a4,a6] |
Generators |
[1306:6375:8] |
Generators of the group modulo torsion |
j |
9759185353/1458176 |
j-invariant |
L |
8.761131742388 |
L(r)(E,1)/r! |
Ω |
0.41741555567865 |
Real period |
R |
5.2472479901617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4450n1 1424e1 |
Quadratic twists by: -4 5 |