Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9120k |
Isogeny class |
Conductor |
9120 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
1122854400 = 29 · 35 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2560,-50692] |
[a1,a2,a3,a4,a6] |
j |
3625294417928/2193075 |
j-invariant |
L |
3.3559169194562 |
L(r)(E,1)/r! |
Ω |
0.67118338389125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9120o2 18240d2 27360y2 45600bf2 |
Quadratic twists by: -4 8 -3 5 |