Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360bk |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-713319793200 = -1 · 24 · 39 · 52 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1122,37973] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:189:1] |
Generators of the group modulo torsion |
j |
13392287744/61155675 |
j-invariant |
L |
7.6771655015683 |
L(r)(E,1)/r! |
Ω |
0.6473881029942 |
Real period |
R |
0.74116722265939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120j1 |
Quadratic twists by: -3 |