Atkin-Lehner |
2- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
41536s |
Isogeny class |
Conductor |
41536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-1871446016 = -1 · 218 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 1 1 -1 11- 4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,-2113] |
[a1,a2,a3,a4,a6] |
j |
-117649/7139 |
j-invariant |
L |
2.6069176444042 |
L(r)(E,1)/r! |
Ω |
0.65172941109145 |
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 |
41536b1 10384c1 |
Quadratic twists by: -4 8 |