Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
20776f |
Isogeny class |
Conductor |
20776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-246652672 = -1 · 28 · 73 · 532 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 0 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-492,-4108] |
[a1,a2,a3,a4,a6] |
Generators |
[71937:691012:729] |
Generators of the group modulo torsion |
j |
-150302896/2809 |
j-invariant |
L |
8.2336439029359 |
L(r)(E,1)/r! |
Ω |
0.50620149069724 |
Real period |
R |
8.1327732674146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41552o1 20776h1 |
Quadratic twists by: -4 -7 |