Atkin-Lehner |
2+ 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63550i |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
73440 |
Modular degree for the optimal curve |
Δ |
254200000000 = 29 · 58 · 31 · 41 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 3 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3200,64000] |
[a1,a2,a3,a4,a6] |
Generators |
[39:1:1] |
Generators of the group modulo torsion |
j |
9281659945/650752 |
j-invariant |
L |
3.5020518703392 |
L(r)(E,1)/r! |
Ω |
0.96503648051395 |
Real period |
R |
3.6289321092735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63550u1 |
Quadratic twists by: 5 |