Atkin-Lehner |
2+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
22496b |
Isogeny class |
Conductor |
22496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18231838208 = 29 · 19 · 374 |
Discriminant |
Eigenvalues |
2+ 0 2 4 4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-659,-442] |
[a1,a2,a3,a4,a6] |
j |
61817294664/35609059 |
j-invariant |
L |
4.6173333095272 |
L(r)(E,1)/r! |
Ω |
1.0260740687838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22496k3 44992p3 |
Quadratic twists by: -4 8 |