Atkin-Lehner |
3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
36663m |
Isogeny class |
Conductor |
36663 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-1594086034964049 = -1 · 36 · 118 · 1012 |
Discriminant |
Eigenvalues |
1 3- 3 -4 11- 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2302,-1921603] |
[a1,a2,a3,a4,a6] |
j |
-6289657/7436529 |
j-invariant |
L |
2.5740133270354 |
L(r)(E,1)/r! |
Ω |
0.21450111058777 |
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 |
109989h1 36663j1 |
Quadratic twists by: -3 -11 |