Atkin-Lehner |
5+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
40825b |
Isogeny class |
Conductor |
40825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
67488828125 = 57 · 233 · 71 |
Discriminant |
Eigenvalues |
0 -2 5+ 2 -5 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-111383,-14345106] |
[a1,a2,a3,a4,a6] |
j |
9780573437526016/4319285 |
j-invariant |
L |
0.5226663122944 |
L(r)(E,1)/r! |
Ω |
0.26133315614195 |
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 |
8165d1 |
Quadratic twists by: 5 |