Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
22176u |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
22406497344 = 26 · 310 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-741,-2900] |
[a1,a2,a3,a4,a6] |
j |
964430272/480249 |
j-invariant |
L |
1.926813743765 |
L(r)(E,1)/r! |
Ω |
0.96340687188248 |
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 |
22176d1 44352cn2 7392g1 |
Quadratic twists by: -4 8 -3 |