Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162cs |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-189886191894 = -1 · 2 · 39 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 6 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-671,22173] |
[a1,a2,a3,a4,a6] |
j |
-389017/2214 |
j-invariant |
L |
6.9741673775824 |
L(r)(E,1)/r! |
Ω |
0.87177092219497 |
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 |
12054i1 738j1 |
Quadratic twists by: -3 -7 |