Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32912a |
Isogeny class |
Conductor |
32912 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
9511568 = 24 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 0 0 4 11- 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275,1749] |
[a1,a2,a3,a4,a6] |
j |
1188000000/4913 |
j-invariant |
L |
2.312940292846 |
L(r)(E,1)/r! |
Ω |
2.3129402928401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16456i1 32912j1 |
Quadratic twists by: -4 -11 |