Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176bu |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
90953140672659456 = 224 · 312 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-163884,-21013040] |
[a1,a2,a3,a4,a6] |
Generators |
[-367431990:-3053473280:2146689] |
Generators of the group modulo torsion |
j |
2547216904393/475937856 |
j-invariant |
L |
5.9442833114471 |
L(r)(E,1)/r! |
Ω |
0.24034809382207 |
Real period |
R |
12.365988048537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58176k2 14544y2 19392bn2 |
Quadratic twists by: -4 8 -3 |