Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288z |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-1190799028224 = -1 · 212 · 33 · 135 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 -6 13- -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5136,151088] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:507:1] |
Generators of the group modulo torsion |
j |
-135479955456/10767497 |
j-invariant |
L |
7.2669310669562 |
L(r)(E,1)/r! |
Ω |
0.84849274098121 |
Real period |
R |
0.85645176627325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3393b1 54288bc1 |
Quadratic twists by: -4 -3 |