Atkin-Lehner |
2+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27968f |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
127088700763930624 = 239 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ -1 -3 2 3 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-507457,-137908159] |
[a1,a2,a3,a4,a6] |
j |
55129288688387857/484804919296 |
j-invariant |
L |
1.0738196782852 |
L(r)(E,1)/r! |
Ω |
0.17896994638084 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27968bt1 874f1 |
Quadratic twists by: -4 8 |