Atkin-Lehner |
2- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9044a |
Isogeny class |
Conductor |
9044 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-37511828705650096 = -1 · 24 · 72 · 178 · 193 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 4 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192596,33840865] |
[a1,a2,a3,a4,a6] |
j |
-49379367039838175232/2344489294103131 |
j-invariant |
L |
1.0839824939447 |
L(r)(E,1)/r! |
Ω |
0.36132749798157 |
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 |
36176w1 81396i1 63308m1 |
Quadratic twists by: -4 -3 -7 |