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 |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
58427705600 = 28 · 52 · 113 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1865,-28275] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:60:1] [-19:15:1] |
Generators of the group modulo torsion |
j |
539154389619/43897600 |
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 |
114950bv1 22990s1 |
Quadratic twists by: 5 -11 |