Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320be |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-3.5489761430524E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 1 -4 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2748627,-1974317166] |
[a1,a2,a3,a4,a6] |
j |
-28485240894685827/4402018257760 |
j-invariant |
L |
3.255339208008 |
L(r)(E,1)/r! |
Ω |
0.058131057285857 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2790e1 89280dm1 22320y1 111600db1 |
Quadratic twists by: -4 8 -3 5 |