Atkin-Lehner |
2- 3+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
65136k |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
10065119035392 = 214 · 39 · 232 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-387344,92917440] |
[a1,a2,a3,a4,a6] |
Generators |
[328:1024:1] |
Generators of the group modulo torsion |
j |
1569117205952289937/2457304452 |
j-invariant |
L |
3.5890344093602 |
L(r)(E,1)/r! |
Ω |
0.61751873372296 |
Real period |
R |
2.9060125736401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8142i1 |
Quadratic twists by: -4 |