Atkin-Lehner |
3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305n |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1545600 |
Modular degree for the optimal curve |
Δ |
-7924161929446875 = -1 · 3 · 55 · 72 · 297 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -5 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-139886,-20634784] |
[a1,a2,a3,a4,a6] |
j |
-508934139904/13321875 |
j-invariant |
L |
0.98592676096794 |
L(r)(E,1)/r! |
Ω |
0.12324084839884 |
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 |
3045a1 |
Quadratic twists by: 29 |