Atkin-Lehner |
2+ 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55216a |
Isogeny class |
Conductor |
55216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
963456 |
Modular degree for the optimal curve |
Δ |
-1.4135762468616E+19 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ -5 4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,300973,169359458] |
[a1,a2,a3,a4,a6] |
j |
2944464801544870236/13804455535758139 |
j-invariant |
L |
0.63908504331887 |
L(r)(E,1)/r! |
Ω |
0.15977126057203 |
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 |
27608g1 |
Quadratic twists by: -4 |