Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cb |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-612124943455973376 = -1 · 212 · 39 · 112 · 137 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,52189,-37374749] |
[a1,a2,a3,a4,a6] |
Generators |
[391:6338:1] |
Generators of the group modulo torsion |
j |
165469149/6443008 |
j-invariant |
L |
8.1971029486766 |
L(r)(E,1)/r! |
Ω |
0.13901520551269 |
Real period |
R |
2.456896387235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33462g1 2574a1 |
Quadratic twists by: -3 13 |