Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080q |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-12209356800 = -1 · 218 · 34 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,575,-575] |
[a1,a2,a3,a4,a6] |
j |
80062991/46575 |
j-invariant |
L |
2.9995073562116 |
L(r)(E,1)/r! |
Ω |
0.7498768390529 |
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 |
22080dd1 345d1 66240ce1 110400ek1 |
Quadratic twists by: -4 8 -3 5 |