Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22990v |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
133662505889000000 = 26 · 56 · 117 · 193 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-149861,13742785] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:5759:1] |
Generators of the group modulo torsion |
j |
210103680895849/75449000000 |
j-invariant |
L |
5.8038758055068 |
L(r)(E,1)/r! |
Ω |
0.30093581221041 |
Real period |
R |
3.2143486916566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114950q3 2090e3 |
Quadratic twists by: 5 -11 |