Atkin-Lehner |
2+ 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
32448u |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
14760465408 = 210 · 38 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 -2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1421,20253] |
[a1,a2,a3,a4,a6] |
j |
141150208/6561 |
j-invariant |
L |
2.4674297809362 |
L(r)(E,1)/r! |
Ω |
1.2337148904671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32448do1 4056j1 97344dp1 32448v1 |
Quadratic twists by: -4 8 -3 13 |