Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22990s |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
103508244560441600 = 28 · 52 · 119 · 193 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11+ 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-225688,38311067] |
[a1,a2,a3,a4,a6] |
j |
539154389619/43897600 |
j-invariant |
L |
2.6216423310266 |
L(r)(E,1)/r! |
Ω |
0.32770529137833 |
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 |
114950a1 22990a1 |
Quadratic twists by: 5 -11 |