Atkin-Lehner |
2- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400cn |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-44092620800000000 = -1 · 227 · 58 · 292 |
Discriminant |
Eigenvalues |
2- 1 5- 4 -3 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-680833,-216689537] |
[a1,a2,a3,a4,a6] |
j |
-340836570625/430592 |
j-invariant |
L |
2.9914308200326 |
L(r)(E,1)/r! |
Ω |
0.083095300559356 |
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 |
46400bg1 11600ba1 46400ca1 |
Quadratic twists by: -4 8 5 |