Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080gh |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
2057970032640000 = 216 · 36 · 54 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-824652,288231696] |
[a1,a2,a3,a4,a6] |
Generators |
[477:1845:1] |
Generators of the group modulo torsion |
j |
1298160537477444/43075625 |
j-invariant |
L |
4.7409723996264 |
L(r)(E,1)/r! |
Ω |
0.43422726886422 |
Real period |
R |
0.45492425506802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080cs1 29520n1 13120u1 |
Quadratic twists by: -4 8 -3 |