Atkin-Lehner |
2- 3+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64272i |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
178740432 = 24 · 34 · 13 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -4 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-313,2140] |
[a1,a2,a3,a4,a6] |
j |
212629504000/11171277 |
j-invariant |
L |
1.7781103693684 |
L(r)(E,1)/r! |
Ω |
1.7781103705096 |
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 |
16068i1 |
Quadratic twists by: -4 |