Atkin-Lehner |
2- 3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590bi |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9472 |
Modular degree for the optimal curve |
Δ |
-19726740 = -1 · 22 · 37 · 5 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 4 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,67,-39] |
[a1,a2,a3,a4,a6] |
j |
46268279/27060 |
j-invariant |
L |
5.104443099432 |
L(r)(E,1)/r! |
Ω |
1.2761107748552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13530d1 |
Quadratic twists by: -3 |