Atkin-Lehner |
2- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18496u |
Isogeny class |
Conductor |
18496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1680747204608 = 212 · 177 |
Discriminant |
Eigenvalues |
2- -2 4 -4 -2 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7321,-235353] |
[a1,a2,a3,a4,a6] |
j |
438976/17 |
j-invariant |
L |
1.0347056445143 |
L(r)(E,1)/r! |
Ω |
0.51735282225714 |
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 |
18496q1 9248h1 1088h1 |
Quadratic twists by: -4 8 17 |