Atkin-Lehner |
2+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64064a |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1170068996096 = 218 · 74 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-634604,-194581840] |
[a1,a2,a3,a4,a6] |
j |
107818231938348177/4463459 |
j-invariant |
L |
1.3532057666017 |
L(r)(E,1)/r! |
Ω |
0.16915072145301 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64064bn4 1001b3 |
Quadratic twists by: -4 8 |