Atkin-Lehner |
5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71825m |
Isogeny class |
Conductor |
71825 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
11333950883125 = 54 · 137 · 172 |
Discriminant |
Eigenvalues |
0 -1 5- 2 -2 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5633,17643] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:422:1] [-13:297:1] |
Generators of the group modulo torsion |
j |
6553600/3757 |
j-invariant |
L |
7.5376912157685 |
L(r)(E,1)/r! |
Ω |
0.61347174114708 |
Real period |
R |
0.51195588363662 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999567 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71825k1 5525j1 |
Quadratic twists by: 5 13 |