Atkin-Lehner |
5- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59675m |
Isogeny class |
Conductor |
59675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
-43436873046875 = -1 · 59 · 72 · 114 · 31 |
Discriminant |
Eigenvalues |
0 1 5- 7+ 11- -2 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6333,369619] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:687:1] |
Generators of the group modulo torsion |
j |
-14384365568/22239679 |
j-invariant |
L |
5.1370662573733 |
L(r)(E,1)/r! |
Ω |
0.57574629632484 |
Real period |
R |
0.55765298559882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59675t1 |
Quadratic twists by: 5 |