Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200bx |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122112 |
Modular degree for the optimal curve |
Δ |
-1082419200 = -1 · 211 · 36 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 -6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42555,-3378890] |
[a1,a2,a3,a4,a6] |
j |
-228337902530/29 |
j-invariant |
L |
2.991606114047 |
L(r)(E,1)/r! |
Ω |
0.16620033965416 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400bm1 5800b1 52200bg1 |
Quadratic twists by: -4 -3 5 |