Atkin-Lehner |
2- 3+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
22704u |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
80775451152 = 24 · 36 · 115 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 5 11+ 4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57934,-5347925] |
[a1,a2,a3,a4,a6] |
j |
1344038690471072512/5048465697 |
j-invariant |
L |
2.4618162615869 |
L(r)(E,1)/r! |
Ω |
0.30772703269837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5676j1 90816cw1 68112cf1 |
Quadratic twists by: -4 8 -3 |