Atkin-Lehner |
2- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
22448c |
Isogeny class |
Conductor |
22448 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-700692104740864 = -1 · 227 · 23 · 613 |
Discriminant |
Eigenvalues |
2- 2 3 1 0 2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13336,-1131664] |
[a1,a2,a3,a4,a6] |
Generators |
[52150:718458:343] |
Generators of the group modulo torsion |
j |
64033605880343/171067408384 |
j-invariant |
L |
9.3014080997143 |
L(r)(E,1)/r! |
Ω |
0.2618301153978 |
Real period |
R |
5.9207653822803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2806c2 89792k2 |
Quadratic twists by: -4 8 |