Atkin-Lehner |
2- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40222q |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
632123385918752 = 25 · 72 · 136 · 174 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ 4 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21720,-243079] |
[a1,a2,a3,a4,a6] |
j |
234770924809/130960928 |
j-invariant |
L |
4.2211063218545 |
L(r)(E,1)/r! |
Ω |
0.42211063219034 |
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 |
238e2 |
Quadratic twists by: 13 |