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 |
55841783325696000 = 213 · 310 · 53 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-217947,-37476214] |
[a1,a2,a3,a4,a6] |
Generators |
[-283:1240:1] |
Generators of the group modulo torsion |
j |
383432500775449/18701300250 |
j-invariant |
L |
4.3024623307629 |
L(r)(E,1)/r! |
Ω |
0.22162763753612 |
Real period |
R |
0.40443797031535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2790bb3 89280ex4 7440k3 111600fm4 |
Quadratic twists by: -4 8 -3 5 |