Atkin-Lehner |
2- 3+ 5+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39990o |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
Δ |
3934288118016000 = 211 · 32 · 53 · 314 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 -2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1367916,615219213] |
[a1,a2,a3,a4,a6] |
Generators |
[-323:32153:1] |
Generators of the group modulo torsion |
j |
283075328551278497750209/3934288118016000 |
j-invariant |
L |
5.5128813540585 |
L(r)(E,1)/r! |
Ω |
0.40195678617778 |
Real period |
R |
0.31170703507262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970z2 |
Quadratic twists by: -3 |