Atkin-Lehner |
2+ 3- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
33864g |
Isogeny class |
Conductor |
33864 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8320 |
Modular degree for the optimal curve |
Δ |
8669184 = 211 · 3 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 -4 5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120,-528] |
[a1,a2,a3,a4,a6] |
Generators |
[-1218:233:216] |
Generators of the group modulo torsion |
j |
94091762/4233 |
j-invariant |
L |
7.7889693250374 |
L(r)(E,1)/r! |
Ω |
1.4454738515376 |
Real period |
R |
5.3885231592062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67728d1 101592j1 |
Quadratic twists by: -4 -3 |