Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1320h |
Isogeny class |
Conductor |
1320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2459125785600 = 210 · 38 · 52 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3800,50652] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:336:1] |
Generators of the group modulo torsion |
j |
5927735656804/2401490025 |
j-invariant |
L |
2.4221242269691 |
L(r)(E,1)/r! |
Ω |
0.73912747259797 |
Real period |
R |
3.2770047343194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2640m4 10560t3 3960e4 6600i3 |
Quadratic twists by: -4 8 -3 5 |