Atkin-Lehner |
2+ 3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590k |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-9.046233930793E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ 0 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5588955,-6839940699] |
[a1,a2,a3,a4,a6] |
j |
-26484273620628486652081/12409100042240000000 |
j-invariant |
L |
0.86427463940217 |
L(r)(E,1)/r! |
Ω |
0.048015257742765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4510j1 |
Quadratic twists by: -3 |