Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120ce |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
1.0295614289833E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9726222,-11572686961] |
[a1,a2,a3,a4,a6] |
j |
4924392082991104/49825153125 |
j-invariant |
L |
3.4216757889041 |
L(r)(E,1)/r! |
Ω |
0.085541895123736 |
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 |
43560ba1 29040f1 7920l1 |
Quadratic twists by: -4 -3 -11 |