Atkin-Lehner |
2- 5- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
69520v |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
171627500000000 = 28 · 510 · 11 · 792 |
Discriminant |
Eigenvalues |
2- 2 5- 4 11+ 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-367180,-85513428] |
[a1,a2,a3,a4,a6] |
Generators |
[-1833934074:-90932275:5268024] |
Generators of the group modulo torsion |
j |
21385626721706934736/670419921875 |
j-invariant |
L |
11.409093635121 |
L(r)(E,1)/r! |
Ω |
0.19394586228821 |
Real period |
R |
11.76523541067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17380g2 |
Quadratic twists by: -4 |