Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9016n |
Isogeny class |
Conductor |
9016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
950408152064 = 210 · 79 · 23 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128984,-17873024] |
[a1,a2,a3,a4,a6] |
j |
1969910093092/7889 |
j-invariant |
L |
0.50384321424864 |
L(r)(E,1)/r! |
Ω |
0.25192160712432 |
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 |
18032e1 72128r1 81144p1 1288i1 |
Quadratic twists by: -4 8 -3 -7 |