Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162z |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-32666501363908608 = -1 · 214 · 310 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-166707,27645813] |
[a1,a2,a3,a4,a6] |
j |
-5974078398625/380878848 |
j-invariant |
L |
1.4545771565348 |
L(r)(E,1)/r! |
Ω |
0.36364428913624 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12054bg1 5166g1 |
Quadratic twists by: -3 -7 |