Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22308a |
Isogeny class |
Conductor |
22308 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
88559742976848 = 24 · 36 · 112 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90133,10435606] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:4563:1] |
Generators of the group modulo torsion |
j |
1048576000000/1146717 |
j-invariant |
L |
4.7557166698865 |
L(r)(E,1)/r! |
Ω |
0.60193051324239 |
Real period |
R |
0.65839779471514 |
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 |
89232bu1 66924g1 1716a1 |
Quadratic twists by: -4 -3 13 |