Atkin-Lehner |
2+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
22720g |
Isogeny class |
Conductor |
22720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
5816320000000000 = 223 · 510 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 -2 1 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70721,6216479] |
[a1,a2,a3,a4,a6] |
j |
149222774347921/22187500000 |
j-invariant |
L |
3.2717654368653 |
L(r)(E,1)/r! |
Ω |
0.40897067960816 |
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 |
22720bb1 710d1 113600bb1 |
Quadratic twists by: -4 8 5 |