Atkin-Lehner |
2- 3+ 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61752l |
Isogeny class |
Conductor |
61752 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
15808512 = 211 · 3 · 31 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-329344,-72638612] |
[a1,a2,a3,a4,a6] |
Generators |
[-1005757238258124:43478638595:3038544131904] |
Generators of the group modulo torsion |
j |
1929053826967663874/7719 |
j-invariant |
L |
3.8187283614289 |
L(r)(E,1)/r! |
Ω |
0.19929068771131 |
Real period |
R |
19.161599597845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999999922 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123504l4 |
Quadratic twists by: -4 |