Atkin-Lehner |
2- 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32208n |
Isogeny class |
Conductor |
32208 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
564849507024 = 24 · 314 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3189,58086] |
[a1,a2,a3,a4,a6] |
Generators |
[6:198:1] |
Generators of the group modulo torsion |
j |
224235033198592/35303094189 |
j-invariant |
L |
5.5476269640335 |
L(r)(E,1)/r! |
Ω |
0.88137893306314 |
Real period |
R |
0.89917980563108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8052a1 128832bh1 96624bp1 |
Quadratic twists by: -4 8 -3 |