Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800bg |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1388307600000000 = 210 · 38 · 58 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30675,-1030750] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:700:1] |
Generators of the group modulo torsion |
j |
273671716/119025 |
j-invariant |
L |
7.4872571390152 |
L(r)(E,1)/r! |
Ω |
0.37535404820995 |
Real period |
R |
2.4933982901945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003768 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41400bm2 27600b2 16560r2 |
Quadratic twists by: -4 -3 5 |