Atkin-Lehner |
2- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200x |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8916480 |
Modular degree for the optimal curve |
Δ |
-6.0843554921875E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 11+ 0 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18135133,29967517137] |
[a1,a2,a3,a4,a6] |
j |
-164902021520455131136/1521088873046875 |
j-invariant |
L |
4.3199359326094 |
L(r)(E,1)/r! |
Ω |
0.13499800658745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25300l1 20240v1 |
Quadratic twists by: -4 5 |