Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240bj |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
23244051600000000 = 210 · 34 · 58 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-109880,-11983872] |
[a1,a2,a3,a4,a6] |
Generators |
[-224:1200:1] |
Generators of the group modulo torsion |
j |
143279368983686884/22699269140625 |
j-invariant |
L |
5.5891973051695 |
L(r)(E,1)/r! |
Ω |
0.26502578931398 |
Real period |
R |
1.3180786386009 |
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 |
18480m4 73920o3 27720k3 46200a3 |
Quadratic twists by: -4 8 -3 5 |