Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496bj |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-21203173376 = -1 · 214 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 11- -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,523,5459] |
[a1,a2,a3,a4,a6] |
Generators |
[86:833:1] |
Generators of the group modulo torsion |
j |
8192/11 |
j-invariant |
L |
4.3561699158317 |
L(r)(E,1)/r! |
Ω |
0.81623446650445 |
Real period |
R |
2.6684550178866 |
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 |
34496cq1 2156a1 704d1 |
Quadratic twists by: -4 8 -7 |