Atkin-Lehner |
2+ 3+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770d |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
157486143375000 = 23 · 39 · 56 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-141009,20407013] |
[a1,a2,a3,a4,a6] |
Generators |
[77:3124:1] |
Generators of the group modulo torsion |
j |
15753412685361987/8001125000 |
j-invariant |
L |
3.8995865615909 |
L(r)(E,1)/r! |
Ω |
0.5682868423108 |
Real period |
R |
0.57183366322164 |
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 |
22770bb2 113850db2 |
Quadratic twists by: -3 5 |