Atkin-Lehner |
3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18525k |
Isogeny class |
Conductor |
18525 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-185894641297828125 = -1 · 37 · 56 · 133 · 195 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,139262,-5482783] |
[a1,a2,a3,a4,a6] |
j |
19116191615070887/11897257043061 |
j-invariant |
L |
1.2894701181557 |
L(r)(E,1)/r! |
Ω |
0.18421001687938 |
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 |
55575i1 741b1 |
Quadratic twists by: -3 5 |