Atkin-Lehner |
5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54145g |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2741760 |
Modular degree for the optimal curve |
Δ |
-3.5338941891514E+22 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- 1 13+ 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6522146,-11086821649] |
[a1,a2,a3,a4,a6] |
j |
-260799662677702795921/300376049873046875 |
j-invariant |
L |
0.18087620159371 |
L(r)(E,1)/r! |
Ω |
0.045219050349542 |
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 |
7735e1 |
Quadratic twists by: -7 |