Atkin-Lehner |
2- 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43296x |
Isogeny class |
Conductor |
43296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
14176236096 = 26 · 32 · 114 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4962,136080] |
[a1,a2,a3,a4,a6] |
j |
211155082374592/221503689 |
j-invariant |
L |
2.4928214828043 |
L(r)(E,1)/r! |
Ω |
1.246410741342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43296o1 86592bi2 129888f1 |
Quadratic twists by: -4 8 -3 |