Atkin-Lehner |
2- 3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288bc |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-868092491575296 = -1 · 212 · 39 · 135 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 6 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46224,-4079376] |
[a1,a2,a3,a4,a6] |
j |
-135479955456/10767497 |
j-invariant |
L |
1.6206105192093 |
L(r)(E,1)/r! |
Ω |
0.16206105196621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3393d1 54288z1 |
Quadratic twists by: -4 -3 |