Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22320bu |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-11996489318400 = -1 · 218 · 310 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5613,39634] |
[a1,a2,a3,a4,a6] |
j |
6549699311/4017600 |
j-invariant |
L |
1.7609192317913 |
L(r)(E,1)/r! |
Ω |
0.44022980794783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2790k1 89280ed1 7440s1 111600dm1 |
Quadratic twists by: -4 8 -3 5 |