Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200cf |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
123687168000000 = 214 · 3 · 56 · 115 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4026008,3107939988] |
[a1,a2,a3,a4,a6] |
Generators |
[23916:416150:27] |
Generators of the group modulo torsion |
j |
112763292123580561/1932612 |
j-invariant |
L |
5.1409589919699 |
L(r)(E,1)/r! |
Ω |
0.42050582305536 |
Real period |
R |
6.1128273499474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1650b3 52800fb3 39600dz3 528f3 |
Quadratic twists by: -4 8 -3 5 |