Atkin-Lehner |
2+ 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990n |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
28753920 |
Modular degree for the optimal curve |
Δ |
9.7218563587613E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1916169084,32285331800320] |
[a1,a2,a3,a4,a6] |
j |
1067327429275518332880003622849/133358797788220527120 |
j-invariant |
L |
0.49688633265166 |
L(r)(E,1)/r! |
Ω |
0.082814389006937 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330s1 |
Quadratic twists by: -3 |