Atkin-Lehner |
2- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120be |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
5456000000 = 210 · 56 · 11 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-621,4579] |
[a1,a2,a3,a4,a6] |
j |
25905842176/5328125 |
j-invariant |
L |
1.2831524532357 |
L(r)(E,1)/r! |
Ω |
1.2831529344303 |
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 |
109120b1 27280h1 |
Quadratic twists by: -4 8 |