Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770y |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
26247690562500 = 22 · 38 · 56 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24849,-1481207] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:184:1] |
Generators of the group modulo torsion |
j |
2327730853071889/36005062500 |
j-invariant |
L |
4.0528849886515 |
L(r)(E,1)/r! |
Ω |
0.3806085752147 |
Real period |
R |
0.88736943336194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7590o2 113850el2 |
Quadratic twists by: -3 5 |