Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352cb |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-36331409664 = -1 · 28 · 32 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-964,14408] |
[a1,a2,a3,a4,a6] |
j |
-3201694672/1172889 |
j-invariant |
L |
4.3580629468335 |
L(r)(E,1)/r! |
Ω |
1.0895158070219 |
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 |
27588d1 110352cn1 |
Quadratic twists by: -4 -11 |