Atkin-Lehner |
2+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40222i |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-2.213015224746E+23 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 6 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3391665,-22761041340] |
[a1,a2,a3,a4,a6] |
j |
-5289511417479913/271292372320256 |
j-invariant |
L |
0.78619352829248 |
L(r)(E,1)/r! |
Ω |
0.04367741823953 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40222p2 |
Quadratic twists by: 13 |