Atkin-Lehner |
2- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18550v |
Isogeny class |
Conductor |
18550 |
Conductor |
∏ cp |
99 |
Product of Tamagawa factors cp |
deg |
193248 |
Modular degree for the optimal curve |
Δ |
-1991791083520000 = -1 · 233 · 54 · 7 · 53 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 6 -7 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39088,-3671808] |
[a1,a2,a3,a4,a6] |
j |
-10567560383566225/3186865733632 |
j-invariant |
L |
1.8389498301786 |
L(r)(E,1)/r! |
Ω |
0.16717725728896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
18550c1 129850df1 |
Quadratic twists by: 5 -7 |