Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600do |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
203233536000000 = 214 · 38 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79275,-8563750] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:162:1] |
Generators of the group modulo torsion |
j |
1180932193/4356 |
j-invariant |
L |
4.7947990012276 |
L(r)(E,1)/r! |
Ω |
0.28458488756501 |
Real period |
R |
2.1060495526722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4950bl2 13200bu2 1584n2 |
Quadratic twists by: -4 -3 5 |