Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
54684n |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-1.6480866058577E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1346961,-632608963] |
[a1,a2,a3,a4,a6] |
j |
-196948657599232/12010035159 |
j-invariant |
L |
3.4911604006832 |
L(r)(E,1)/r! |
Ω |
0.069823208036192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18228d1 1116f1 |
Quadratic twists by: -3 -7 |