Atkin-Lehner |
2- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
65450w |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-56272273750000 = -1 · 24 · 57 · 72 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8230,463397] |
[a1,a2,a3,a4,a6] |
Generators |
[195:2401:1] |
Generators of the group modulo torsion |
j |
-3945060967401/3601425520 |
j-invariant |
L |
8.2705183399555 |
L(r)(E,1)/r! |
Ω |
0.5732842518903 |
Real period |
R |
1.8033197128706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998295 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13090h1 |
Quadratic twists by: 5 |