Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
720h |
Isogeny class |
Conductor |
720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
489776025600 = 212 · 314 · 52 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19443,-1042958] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:22:1] |
Generators of the group modulo torsion |
j |
272223782641/164025 |
j-invariant |
L |
2.1029661685701 |
L(r)(E,1)/r! |
Ω |
0.40431927175927 |
Real period |
R |
2.6006256879863 |
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 |
45a5 2880bd5 240d5 3600bf5 |
Quadratic twists by: -4 8 -3 5 |