Atkin-Lehner |
2- 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64032y |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-14700627408384 = -1 · 29 · 316 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4928,126040] |
[a1,a2,a3,a4,a6] |
j |
25845070293496/28712162907 |
j-invariant |
L |
3.7328440764662 |
L(r)(E,1)/r! |
Ω |
0.46660550940934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64032bc2 128064di3 |
Quadratic twists by: -4 8 |