Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
22176n |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-3.0259099696073E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216165,837817724] |
[a1,a2,a3,a4,a6] |
j |
-23942656868248000/6485575209206247 |
j-invariant |
L |
1.4044346156837 |
L(r)(E,1)/r! |
Ω |
0.14044346156837 |
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 |
22176e1 44352p1 7392a1 |
Quadratic twists by: -4 8 -3 |