Atkin-Lehner |
2- 3+ 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61752l |
Isogeny class |
Conductor |
61752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-244055744575488 = -1 · 211 · 34 · 31 · 834 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19344,-1273140] |
[a1,a2,a3,a4,a6] |
Generators |
[500763074971740:3315825192298905:2694903759296] |
Generators of the group modulo torsion |
j |
-390890451043874/119167844031 |
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 |
0.99999999998049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123504l3 |
Quadratic twists by: -4 |