Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
33462z |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-5525487972576 = -1 · 25 · 310 · 113 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 11+ 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5004,-175824] |
[a1,a2,a3,a4,a6] |
Generators |
[678:129:8] |
Generators of the group modulo torsion |
j |
-8653002877/3449952 |
j-invariant |
L |
4.2938124827746 |
L(r)(E,1)/r! |
Ω |
0.27834020732144 |
Real period |
R |
3.8566225520342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154bj1 33462dh1 |
Quadratic twists by: -3 13 |