Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
76880f |
Isogeny class |
Conductor |
76880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-110050456444000000 = -1 · 28 · 56 · 317 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,118844,-2504544] |
[a1,a2,a3,a4,a6] |
j |
817036976/484375 |
j-invariant |
L |
3.5153793602333 |
L(r)(E,1)/r! |
Ω |
0.1952988577775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38440j2 2480d2 |
Quadratic twists by: -4 -31 |