Atkin-Lehner |
3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
4005c |
Isogeny class |
Conductor |
4005 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
364955625 = 38 · 54 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-225,-864] |
[a1,a2,a3,a4,a6] |
j |
1732323601/500625 |
j-invariant |
L |
1.259639989421 |
L(r)(E,1)/r! |
Ω |
1.259639989421 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64080q1 1335b1 20025j1 |
Quadratic twists by: -4 -3 5 |