Atkin-Lehner |
2- 3- 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
11766f |
Isogeny class |
Conductor |
11766 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-1188635159016 = -1 · 23 · 36 · 372 · 533 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -3 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-902,-53556] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2242:1] |
Generators of the group modulo torsion |
j |
-81165864159073/1188635159016 |
j-invariant |
L |
7.0542845651858 |
L(r)(E,1)/r! |
Ω |
0.3707283671926 |
Real period |
R |
1.5856813212068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
94128h1 35298e1 |
Quadratic twists by: -4 -3 |