Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520m |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
895576500000000000 = 211 · 39 · 512 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-990363,376607338] |
[a1,a2,a3,a4,a6] |
j |
71953090392723122/599853515625 |
j-invariant |
L |
2.2534197690294 |
L(r)(E,1)/r! |
Ω |
0.28167747039922 |
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 |
32760bf3 21840r3 |
Quadratic twists by: -4 -3 |