Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080bb |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-74884055040 = -1 · 220 · 33 · 5 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-801,-16065] |
[a1,a2,a3,a4,a6] |
j |
-217081801/285660 |
j-invariant |
L |
2.5664475988375 |
L(r)(E,1)/r! |
Ω |
0.42774126647292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080bz1 690d1 66240df1 110400bm1 |
Quadratic twists by: -4 8 -3 5 |