Atkin-Lehner |
2- 5+ 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
85550z |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
47174400 |
Modular degree for the optimal curve |
Δ |
-1.6176406096883E+20 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 1 4 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1224449805,16491784627197] |
[a1,a2,a3,a4,a6] |
j |
-20789623656873794656715625/16564639843208 |
j-invariant |
L |
4.0737096883279 |
L(r)(E,1)/r! |
Ω |
0.11315860029852 |
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 |
85550o1 |
Quadratic twists by: 5 |