Atkin-Lehner |
2- 3- 5- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40020f |
Isogeny class |
Conductor |
40020 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-508093920000 = -1 · 28 · 32 · 54 · 233 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1835,16775] |
[a1,a2,a3,a4,a6] |
j |
2667812225024/1984741875 |
j-invariant |
L |
4.7455519709385 |
L(r)(E,1)/r! |
Ω |
0.59319399637185 |
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 |
120060j1 |
Quadratic twists by: -3 |