Atkin-Lehner |
2+ 3- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110z |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-231235884000 = -1 · 25 · 310 · 53 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17244,876208] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-16:1] |
Generators of the group modulo torsion |
j |
-777901113206209/317196000 |
j-invariant |
L |
5.8636681494057 |
L(r)(E,1)/r! |
Ω |
0.97554311376465 |
Real period |
R |
1.0017784051948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370t1 |
Quadratic twists by: -3 |