Atkin-Lehner |
3- 7- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109557o |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19155393858573 = 314 · 72 · 37 · 472 |
Discriminant |
Eigenvalues |
1 3- 4 7- 0 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86310,-9735957] |
[a1,a2,a3,a4,a6] |
Generators |
[519190:8970927:1000] |
Generators of the group modulo torsion |
j |
97539913029656161/26276260437 |
j-invariant |
L |
11.32753498132 |
L(r)(E,1)/r! |
Ω |
0.27854223789485 |
Real period |
R |
10.166801884447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999998659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36519h2 |
Quadratic twists by: -3 |