Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080o |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-224262144000 = -1 · 214 · 32 · 53 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 0 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5525,-157875] |
[a1,a2,a3,a4,a6] |
j |
-1138621087744/13687875 |
j-invariant |
L |
1.6600466570569 |
L(r)(E,1)/r! |
Ω |
0.27667444284281 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22080da2 1380c2 66240bw2 110400dt2 |
Quadratic twists by: -4 8 -3 5 |