Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320g |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
62046425917440 = 211 · 38 · 5 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20163,-1034782] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:124:1] |
Generators of the group modulo torsion |
j |
607199886722/41558445 |
j-invariant |
L |
4.3827279865161 |
L(r)(E,1)/r! |
Ω |
0.40237125768974 |
Real period |
R |
0.68076557140289 |
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 |
11160c4 89280fn3 7440d4 111600be3 |
Quadratic twists by: -4 8 -3 5 |