Atkin-Lehner |
2+ 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432f |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
97382736 = 24 · 37 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-174,-745] |
[a1,a2,a3,a4,a6] |
j |
49948672/8349 |
j-invariant |
L |
2.6588845932662 |
L(r)(E,1)/r! |
Ω |
1.329442296632 |
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 |
18216c1 12144e1 |
Quadratic twists by: -4 -3 |