Atkin-Lehner |
2- 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67536bp |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-10379802940157952 = -1 · 212 · 38 · 78 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9840,4916144] |
[a1,a2,a3,a4,a6] |
j |
-35287552000/3476175003 |
j-invariant |
L |
1.3360144447861 |
L(r)(E,1)/r! |
Ω |
0.33400360740159 |
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 |
4221h1 22512k1 |
Quadratic twists by: -4 -3 |