Atkin-Lehner |
2- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
14278g |
Isogeny class |
Conductor |
14278 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
1172160 |
Modular degree for the optimal curve |
Δ |
-8.0120817974275E+20 |
Discriminant |
Eigenvalues |
2- -2 3 -4 11- 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,147436,-1361668208] |
[a1,a2,a3,a4,a6] |
Generators |
[1064:-340:1] |
Generators of the group modulo torsion |
j |
1653456090143/3737695289344 |
j-invariant |
L |
5.6425281285324 |
L(r)(E,1)/r! |
Ω |
0.073844926064033 |
Real period |
R |
3.8205252745731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
114224u1 128502bc1 14278c1 |
Quadratic twists by: -4 -3 -11 |