Atkin-Lehner |
2+ 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
83544b |
Isogeny class |
Conductor |
83544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
13188428691867648 = 211 · 312 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 -2 2 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112552,13480108] |
[a1,a2,a3,a4,a6] |
j |
6354029426/531441 |
j-invariant |
L |
0.77764216661478 |
L(r)(E,1)/r! |
Ω |
0.38882112658101 |
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 |
83544f1 |
Quadratic twists by: -59 |