Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22320bi |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
948941049600 = 28 · 314 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2703,27002] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:180:1] |
Generators of the group modulo torsion |
j |
11702923216/5084775 |
j-invariant |
L |
4.6476185379908 |
L(r)(E,1)/r! |
Ω |
0.79475131094772 |
Real period |
R |
2.9239451850974 |
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 |
5580e2 89280ff2 7440m2 111600ec2 |
Quadratic twists by: -4 8 -3 5 |