Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2640q |
Isogeny class |
Conductor |
2640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1349314560000 = 214 · 32 · 54 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4080,84672] |
[a1,a2,a3,a4,a6] |
j |
1834216913521/329422500 |
j-invariant |
L |
1.6308663362907 |
L(r)(E,1)/r! |
Ω |
0.81543316814536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
330b3 10560cb4 7920z3 13200cg4 |
Quadratic twists by: -4 8 -3 5 |