Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320cg |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1614110976000000 = 214 · 38 · 56 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37947,2087786] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:2160:1] |
Generators of the group modulo torsion |
j |
2023804595449/540562500 |
j-invariant |
L |
4.3024623307629 |
L(r)(E,1)/r! |
Ω |
0.44325527507224 |
Real period |
R |
0.80887594063069 |
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 |
2790bb2 89280ex2 7440k2 111600fm2 |
Quadratic twists by: -4 8 -3 5 |