Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
22932j |
Isogeny class |
Conductor |
22932 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
135176060322576 = 24 · 36 · 74 · 136 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15141,448693] |
[a1,a2,a3,a4,a6] |
j |
13707167488/4826809 |
j-invariant |
L |
3.2126156707431 |
L(r)(E,1)/r! |
Ω |
0.53543594512384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
91728dq2 2548c2 22932r2 |
Quadratic twists by: -4 -3 -7 |