Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400d |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
111343013600000000 = 211 · 58 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 13+ -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392408,93372812] |
[a1,a2,a3,a4,a6] |
j |
1775007362/29575 |
j-invariant |
L |
2.6718106916069 |
L(r)(E,1)/r! |
Ω |
0.33397652534778 |
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 |
25480m2 18200g2 |
Quadratic twists by: 5 -7 |