Atkin-Lehner |
2+ 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
65450n |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-54043891709500 = -1 · 22 · 53 · 76 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-330422,-73024064] |
[a1,a2,a3,a4,a6] |
j |
-31916944266586592877/432351133676 |
j-invariant |
L |
0.79651121146767 |
L(r)(E,1)/r! |
Ω |
0.099563901280079 |
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 |
65450bm1 |
Quadratic twists by: 5 |