Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288bq |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1260513700872192 = -1 · 221 · 313 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -1 13- 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40179,3539378] |
[a1,a2,a3,a4,a6] |
j |
-2402335209457/422143488 |
j-invariant |
L |
3.7274301426581 |
L(r)(E,1)/r! |
Ω |
0.46592876794785 |
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 |
6786f1 18096y1 |
Quadratic twists by: -4 -3 |