Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22308b |
Isogeny class |
Conductor |
22308 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
36332202246912 = 28 · 35 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-218404,39357928] |
[a1,a2,a3,a4,a6] |
Generators |
[126:3718:1] |
Generators of the group modulo torsion |
j |
932410994128/29403 |
j-invariant |
L |
2.9484088503276 |
L(r)(E,1)/r! |
Ω |
0.60708842209448 |
Real period |
R |
0.80943970790819 |
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 |
89232ca2 66924j2 132b2 |
Quadratic twists by: -4 -3 13 |