Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128ca |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
8485787072 = 26 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 2 0 7- 4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1388,19874] |
[a1,a2,a3,a4,a6] |
j |
39304000/1127 |
j-invariant |
L |
5.2062599904846 |
L(r)(E,1)/r! |
Ω |
1.3015649974036 |
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 |
72128bm1 36064e2 10304ba1 |
Quadratic twists by: -4 8 -7 |