Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608bd |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1200938876928 = 216 · 39 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 6 2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5484,-147152] |
[a1,a2,a3,a4,a6] |
j |
381775972/25137 |
j-invariant |
L |
4.4566366493316 |
L(r)(E,1)/r! |
Ω |
0.55707957970125 |
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 |
76608fo1 9576j1 25536bd1 |
Quadratic twists by: -4 8 -3 |