Atkin-Lehner |
2+ 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978g |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18724608 |
Modular degree for the optimal curve |
Δ |
-1.8320097050921E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-75920870,-699250397292] |
[a1,a2,a3,a4,a6] |
j |
-171327409922416869625/648555833326148352 |
j-invariant |
L |
0.37432369951361 |
L(r)(E,1)/r! |
Ω |
0.023395231256991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54978n1 |
Quadratic twists by: -7 |