Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296d |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
164975616 = 210 · 36 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2664,-52920] |
[a1,a2,a3,a4,a6] |
j |
2800908288/221 |
j-invariant |
L |
2.6581411435173 |
L(r)(E,1)/r! |
Ω |
0.66453530022161 |
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 |
127296ca1 15912i1 14144a1 |
Quadratic twists by: -4 8 -3 |