Atkin-Lehner |
2- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22880d |
Isogeny class |
Conductor |
22880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-118976000 = -1 · 29 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ 5 11+ 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-520] |
[a1,a2,a3,a4,a6] |
j |
-941192/232375 |
j-invariant |
L |
1.6662280208623 |
L(r)(E,1)/r! |
Ω |
0.83311401043117 |
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 |
22880e1 45760bx1 114400b1 |
Quadratic twists by: -4 8 5 |