Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496cq |
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 |
[12:49:1] |
Generators of the group modulo torsion |
j |
8192/11 |
j-invariant |
L |
1.861703437597 |
L(r)(E,1)/r! |
Ω |
0.64515229835227 |
Real period |
R |
1.4428402738021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496bj1 8624ba1 704f1 |
Quadratic twists by: -4 8 -7 |