Atkin-Lehner |
2- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
33200bn |
Isogeny class |
Conductor |
33200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-13598720000 = -1 · 218 · 54 · 83 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -3 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,592,-1088] |
[a1,a2,a3,a4,a6] |
Generators |
[2:10:1] [8:64:1] |
Generators of the group modulo torsion |
j |
8947775/5312 |
j-invariant |
L |
7.1510356551817 |
L(r)(E,1)/r! |
Ω |
0.73472611830288 |
Real period |
R |
0.81107724781626 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4150o1 33200t1 |
Quadratic twists by: -4 5 |