Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
22560p |
Isogeny class |
Conductor |
22560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-1949184000 = -1 · 212 · 34 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-525,-4923] |
[a1,a2,a3,a4,a6] |
Generators |
[39:180:1] |
Generators of the group modulo torsion |
j |
-3914430976/475875 |
j-invariant |
L |
4.4170394722618 |
L(r)(E,1)/r! |
Ω |
0.49523570172636 |
Real period |
R |
0.74325542646735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22560v1 45120cl1 67680e1 112800v1 |
Quadratic twists by: -4 8 -3 5 |