Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496db |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
1130364928 = 221 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -3 2 7- 11+ -7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-364,2128] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:64:1] |
Generators of the group modulo torsion |
j |
415233/88 |
j-invariant |
L |
3.2553713357098 |
L(r)(E,1)/r! |
Ω |
1.461008960038 |
Real period |
R |
0.55704164463594 |
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 |
34496bu1 8624bc1 34496cc1 |
Quadratic twists by: -4 8 -7 |