Atkin-Lehner |
2- 3- 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32922j |
Isogeny class |
Conductor |
32922 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-1322674272 = -1 · 25 · 36 · 312 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 -3 -1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230,2261] |
[a1,a2,a3,a4,a6] |
Generators |
[69:523:1] [7:-35:1] |
Generators of the group modulo torsion |
j |
-1838265625/1814368 |
j-invariant |
L |
10.859905280882 |
L(r)(E,1)/r! |
Ω |
1.3898890354827 |
Real period |
R |
0.39067526268777 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3658a1 |
Quadratic twists by: -3 |