Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13200bb |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4356000000 = 28 · 32 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1108,-14212] |
[a1,a2,a3,a4,a6] |
Generators |
[2678:138600:1] |
Generators of the group modulo torsion |
j |
37642192/1089 |
j-invariant |
L |
6.381224743727 |
L(r)(E,1)/r! |
Ω |
0.82889593608102 |
Real period |
R |
3.8492315295314 |
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 |
6600v2 52800eo2 39600t2 528b2 |
Quadratic twists by: -4 8 -3 5 |