Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280fz |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
4730880 |
Modular degree for the optimal curve |
Δ |
-56233543680000000 = -1 · 217 · 311 · 57 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59019852,-174520033904] |
[a1,a2,a3,a4,a6] |
Generators |
[45122:9435600:1] |
Generators of the group modulo torsion |
j |
-237947203935023980322/588515625 |
j-invariant |
L |
8.398798043064 |
L(r)(E,1)/r! |
Ω |
0.027234539098305 |
Real period |
R |
5.5069239817798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280cl1 22320j1 29760cq1 |
Quadratic twists by: -4 8 -3 |