Atkin-Lehner |
2- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
14278i |
Isogeny class |
Conductor |
14278 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
54340 |
Modular degree for the optimal curve |
Δ |
-54799682240512 = -1 · 219 · 116 · 59 |
Discriminant |
Eigenvalues |
2- 2 2 3 11- -3 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6713,289213] |
[a1,a2,a3,a4,a6] |
j |
18884848247/30932992 |
j-invariant |
L |
8.1619770674561 |
L(r)(E,1)/r! |
Ω |
0.42957774039243 |
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 |
114224p1 128502p1 118d1 |
Quadratic twists by: -4 -3 -11 |