Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600ce |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-2008572853218750000 = -1 · 24 · 38 · 59 · 73 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,243217,50260938] |
[a1,a2,a3,a4,a6] |
j |
6364491337435136/8034291412875 |
j-invariant |
L |
2.8140409847739 |
L(r)(E,1)/r! |
Ω |
0.1758775614943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109200v1 10920c1 |
Quadratic twists by: -4 5 |