Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120o |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-299821953600000 = -1 · 29 · 38 · 55 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 1 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6704,-803620] |
[a1,a2,a3,a4,a6] |
j |
2278334968/20503125 |
j-invariant |
L |
2.1611296767368 |
L(r)(E,1)/r! |
Ω |
0.27014121065816 |
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 |
81120ba1 81120by1 |
Quadratic twists by: -4 13 |