Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080dc |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-2228268662784000 = -1 · 218 · 35 · 53 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29215,-1200225] |
[a1,a2,a3,a4,a6] |
Generators |
[85:1380:1] |
Generators of the group modulo torsion |
j |
10519294081031/8500170375 |
j-invariant |
L |
5.8249282176199 |
L(r)(E,1)/r! |
Ω |
0.25623227976959 |
Real period |
R |
0.37888332042954 |
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 |
22080r1 5520q1 66240er1 110400fy1 |
Quadratic twists by: -4 8 -3 5 |