Atkin-Lehner |
3- 5+ 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
115785h |
Isogeny class |
Conductor |
115785 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.2079282925884E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-720761625,7448110375000] |
[a1,a2,a3,a4,a6] |
j |
56802984071155684319064186001/57721924452515625 |
j-invariant |
L |
2.0489731759538 |
L(r)(E,1)/r! |
Ω |
0.12806085402589 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38595d4 |
Quadratic twists by: -3 |