Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320bo |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8685845250048000 = -1 · 218 · 310 · 53 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20959,4322241] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-2144:1] [279:5640:1] |
Generators of the group modulo torsion |
j |
3883959939959/33133870125 |
j-invariant |
L |
8.3151162162299 |
L(r)(E,1)/r! |
Ω |
0.30169929849693 |
Real period |
R |
6.8902349604716 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320ba2 16080y2 |
Quadratic twists by: -4 8 |