Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880v |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
15250422254760000 = 26 · 312 · 54 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72273,-4541528] |
[a1,a2,a3,a4,a6] |
j |
894838079076544/326869475625 |
j-invariant |
L |
1.2003283464046 |
L(r)(E,1)/r! |
Ω |
0.30008221602121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110880bj1 36960bs1 |
Quadratic twists by: -4 -3 |