Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320cg |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
555393024000 = 216 · 37 · 53 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35067,2527274] |
[a1,a2,a3,a4,a6] |
Generators |
[13:1440:1] |
Generators of the group modulo torsion |
j |
1597099875769/186000 |
j-invariant |
L |
4.3024623307629 |
L(r)(E,1)/r! |
Ω |
0.88651055014447 |
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 |
2790bb1 89280ex1 7440k1 111600fm1 |
Quadratic twists by: -4 8 -3 5 |