Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280be |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
26992100966400 = 216 · 312 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22188,-1247312] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:135:1] [-82:144:1] |
Generators of the group modulo torsion |
j |
25285452196/564975 |
j-invariant |
L |
10.114734755494 |
L(r)(E,1)/r! |
Ω |
0.39170639254276 |
Real period |
R |
3.2277794503929 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280es2 11160o2 29760bh2 |
Quadratic twists by: -4 8 -3 |