Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8820n |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
2.0515524162328E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1791048,613413997] |
[a1,a2,a3,a4,a6] |
j |
463030539649024/149501953125 |
j-invariant |
L |
1.316321978244 |
L(r)(E,1)/r! |
Ω |
0.16454024728051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280ef1 2940j1 44100bw1 1260h1 |
Quadratic twists by: -4 -3 5 -7 |