Atkin-Lehner |
2- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83248bj |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
54915783262208 = 216 · 117 · 43 |
Discriminant |
Eigenvalues |
2- 0 2 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21659,-1173942] |
[a1,a2,a3,a4,a6] |
j |
154854153/7568 |
j-invariant |
L |
0.7894684923879 |
L(r)(E,1)/r! |
Ω |
0.39473421798296 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10406g1 7568l1 |
Quadratic twists by: -4 -11 |