Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11160c |
Isogeny class |
Conductor |
11160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1518305679360 = 211 · 314 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59763,-5623058] |
[a1,a2,a3,a4,a6] |
j |
15811147933922/1016955 |
j-invariant |
L |
1.2213865255975 |
L(r)(E,1)/r! |
Ω |
0.30534663139937 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22320g4 89280by4 3720g4 55800bn4 |
Quadratic twists by: -4 8 -3 5 |