Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640cu |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
10033606080 = 26 · 312 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-636,3654] |
[a1,a2,a3,a4,a6] |
j |
445243675456/156775095 |
j-invariant |
L |
3.5477374102609 |
L(r)(E,1)/r! |
Ω |
1.1825791382851 |
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 |
56640bo1 28320h3 |
Quadratic twists by: -4 8 |