Atkin-Lehner |
3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
76725m |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
232644346171875 = 38 · 57 · 114 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1674567,-833650034] |
[a1,a2,a3,a4,a6] |
j |
45591500845748521/20424195 |
j-invariant |
L |
1.061729565114 |
L(r)(E,1)/r! |
Ω |
0.13271619505695 |
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 |
25575d4 15345b3 |
Quadratic twists by: -3 5 |