Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320bs |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-230332594913280 = -1 · 223 · 311 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 -2 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14037,351322] |
[a1,a2,a3,a4,a6] |
j |
102437538839/77137920 |
j-invariant |
L |
1.4275147888104 |
L(r)(E,1)/r! |
Ω |
0.35687869720259 |
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 |
2790u1 89280ga1 7440bb1 111600fg1 |
Quadratic twists by: -4 8 -3 5 |