Atkin-Lehner |
3+ 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
65325j |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20864 |
Modular degree for the optimal curve |
Δ |
-21883875 = -1 · 3 · 53 · 13 · 672 |
Discriminant |
Eigenvalues |
2 3+ 5- -3 1 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,62,-147] |
[a1,a2,a3,a4,a6] |
Generators |
[58:197:8] |
Generators of the group modulo torsion |
j |
207474688/175071 |
j-invariant |
L |
8.5187482493558 |
L(r)(E,1)/r! |
Ω |
1.1858503368379 |
Real period |
R |
1.7959155518705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65325ba1 |
Quadratic twists by: 5 |