Atkin-Lehner |
11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41327m |
Isogeny class |
Conductor |
41327 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
671232 |
Modular degree for the optimal curve |
Δ |
-5334228777955363 = -1 · 113 · 138 · 173 |
Discriminant |
Eigenvalues |
2 2 -4 -3 11- 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13560,-3561593] |
[a1,a2,a3,a4,a6] |
j |
-56129095503872/1085737589651 |
j-invariant |
L |
2.2213107108008 |
L(r)(E,1)/r! |
Ω |
0.18510922591102 |
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 |
41327d1 |
Quadratic twists by: 17 |