Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488cl |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-172302850147392 = -1 · 26 · 38 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1252,-631358] |
[a1,a2,a3,a4,a6] |
j |
-140608/111537 |
j-invariant |
L |
2.0609994250185 |
L(r)(E,1)/r! |
Ω |
0.25762492819443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488dp1 27744z2 3264bd1 |
Quadratic twists by: -4 8 17 |