Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
8118t |
Isogeny class |
Conductor |
8118 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-1261870340898816 = -1 · 218 · 36 · 115 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11- -6 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21434,-2087431] |
[a1,a2,a3,a4,a6] |
Generators |
[369:6151:1] |
Generators of the group modulo torsion |
j |
-1493780780062297/1730960687104 |
j-invariant |
L |
5.3856181442922 |
L(r)(E,1)/r! |
Ω |
0.18882771048118 |
Real period |
R |
0.15845185394336 |
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 |
64944bj1 902a1 89298y1 |
Quadratic twists by: -4 -3 -11 |