Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22990a |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5009445408880 = 24 · 5 · 113 · 196 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6265,159165] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:599:1] [18:219:1] |
Generators of the group modulo torsion |
j |
20433740559219/3763670480 |
j-invariant |
L |
5.1766861676406 |
L(r)(E,1)/r! |
Ω |
0.7302292261876 |
Real period |
R |
1.1815208115464 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114950bv2 22990s2 |
Quadratic twists by: 5 -11 |