Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
64400bn |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
122861392640000000 = 214 · 57 · 73 · 234 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14639075,-21558494750] |
[a1,a2,a3,a4,a6] |
Generators |
[208533:-15418234:27] |
Generators of the group modulo torsion |
j |
5421065386069310769/1919709260 |
j-invariant |
L |
7.0132826171704 |
L(r)(E,1)/r! |
Ω |
0.077182911130288 |
Real period |
R |
7.572145304425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8050e3 12880m3 |
Quadratic twists by: -4 5 |