Atkin-Lehner |
2- 3- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
14022i |
Isogeny class |
Conductor |
14022 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
70400 |
Modular degree for the optimal curve |
Δ |
-1364117723338752 = -1 · 211 · 38 · 195 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 2 1 -6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1724,-1776769] |
[a1,a2,a3,a4,a6] |
Generators |
[213:2629:1] |
Generators of the group modulo torsion |
j |
-776911912057/1871217727488 |
j-invariant |
L |
8.388915005286 |
L(r)(E,1)/r! |
Ω |
0.21801585458637 |
Real period |
R |
0.34980420955673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112176s1 4674b1 |
Quadratic twists by: -4 -3 |