Atkin-Lehner |
2- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68200x |
Isogeny class |
Conductor |
68200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
28140002000 = 24 · 53 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 2 5- 2 11- 4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1803,-27748] |
[a1,a2,a3,a4,a6] |
j |
324281182208/14070001 |
j-invariant |
L |
5.8767002082109 |
L(r)(E,1)/r! |
Ω |
0.73458752598567 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68200k1 |
Quadratic twists by: 5 |