Atkin-Lehner |
11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41327l |
Isogeny class |
Conductor |
41327 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
2054427945713 = 114 · 134 · 173 |
Discriminant |
Eigenvalues |
-1 0 4 4 11- 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4228,-79186] |
[a1,a2,a3,a4,a6] |
j |
1700926633953/418161601 |
j-invariant |
L |
2.4108168952113 |
L(r)(E,1)/r! |
Ω |
0.60270422380105 |
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 |
41327c1 |
Quadratic twists by: 17 |