Atkin-Lehner |
2+ 3- 5+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
118170i |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5347328 |
Modular degree for the optimal curve |
Δ |
-4.8658058796073E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1154205,583752325] |
[a1,a2,a3,a4,a6] |
j |
-233262673797984976081/66746308362240000 |
j-invariant |
L |
1.5243372750718 |
L(r)(E,1)/r! |
Ω |
0.19054208440933 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39390o1 |
Quadratic twists by: -3 |