Atkin-Lehner |
3- 5- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
52065o |
Isogeny class |
Conductor |
52065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
167424 |
Modular degree for the optimal curve |
Δ |
121761064856925 = 312 · 52 · 13 · 893 |
Discriminant |
Eigenvalues |
0 3- 5- 5 0 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14322,391617] |
[a1,a2,a3,a4,a6] |
j |
445663628591104/167024780325 |
j-invariant |
L |
2.1500659862187 |
L(r)(E,1)/r! |
Ω |
0.53751649672759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17355j1 |
Quadratic twists by: -3 |