Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11808f |
Isogeny class |
Conductor |
11808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-45909504 = -1 · 29 · 37 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -2 -5 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,326] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:2:1] [1:18:1] |
Generators of the group modulo torsion |
j |
-8/123 |
j-invariant |
L |
5.7428860464644 |
L(r)(E,1)/r! |
Ω |
1.6138665907853 |
Real period |
R |
0.44480799088772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11808e1 23616bn1 3936c1 |
Quadratic twists by: -4 8 -3 |