Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
8118q |
Isogeny class |
Conductor |
8118 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
95409498488832 = 218 · 39 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-92075,10766459] |
[a1,a2,a3,a4,a6] |
Generators |
[43:2602:1] |
Generators of the group modulo torsion |
j |
118417788018699625/130877227008 |
j-invariant |
L |
6.0973005807728 |
L(r)(E,1)/r! |
Ω |
0.59827116976963 |
Real period |
R |
0.56619629738214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64944bd1 2706d1 89298n1 |
Quadratic twists by: -4 -3 -11 |