Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600ej |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-4465125000000 = -1 · 26 · 36 · 59 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2592,-88938] |
[a1,a2,a3,a4,a6] |
j |
1925134784/4465125 |
j-invariant |
L |
0.80291230263797 |
L(r)(E,1)/r! |
Ω |
0.4014561513202 |
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 |
33600go1 16800bs2 100800lp1 6720by1 |
Quadratic twists by: -4 8 -3 5 |