Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296d |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
583353778176 = 214 · 36 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2844,-45360] |
[a1,a2,a3,a4,a6] |
j |
212992848/48841 |
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 |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127296ca2 15912i2 14144a2 |
Quadratic twists by: -4 8 -3 |