Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640cm |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
633463043932160 = 214 · 5 · 13 · 296 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -2 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33905,2086865] |
[a1,a2,a3,a4,a6] |
Generators |
[-58128:14043133:9261] |
Generators of the group modulo torsion |
j |
263092112457424/38663515865 |
j-invariant |
L |
11.172427017936 |
L(r)(E,1)/r! |
Ω |
0.49217627139823 |
Real period |
R |
11.350026061135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640bd2 30160e2 |
Quadratic twists by: -4 8 |