Atkin-Lehner |
2- 31+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
117056k |
Isogeny class |
Conductor |
117056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-58059776 = -1 · 210 · 312 · 59 |
Discriminant |
Eigenvalues |
2- -1 1 1 -2 0 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125,-611] |
[a1,a2,a3,a4,a6] |
Generators |
[20:67:1] [41:248:1] |
Generators of the group modulo torsion |
j |
-212629504/56699 |
j-invariant |
L |
10.560344072341 |
L(r)(E,1)/r! |
Ω |
0.70363479604796 |
Real period |
R |
3.7520685914941 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117056h1 29264a1 |
Quadratic twists by: -4 8 |