Atkin-Lehner |
5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32725q |
Isogeny class |
Conductor |
32725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-5726875 = -1 · 54 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
-2 2 5- 7- 11+ 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8,118] |
[a1,a2,a3,a4,a6] |
Generators |
[1:10:1] |
Generators of the group modulo torsion |
j |
-102400/9163 |
j-invariant |
L |
4.2131405729701 |
L(r)(E,1)/r! |
Ω |
1.9758182328023 |
Real period |
R |
1.0661761550289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32725b1 |
Quadratic twists by: 5 |