Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ib |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8171520 |
Modular degree for the optimal curve |
Δ |
-6.6719523912804E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 -1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26110875,-52837006250] |
[a1,a2,a3,a4,a6] |
Generators |
[162728744392318574740909608229440550:7814304882452113271024152720931786250:23041447962582048243353372502413] |
Generators of the group modulo torsion |
j |
-2390122/81 |
j-invariant |
L |
7.1778750212589 |
L(r)(E,1)/r! |
Ω |
0.033327249830003 |
Real period |
R |
53.843889443865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cd1 88200dm1 88200hr1 |
Quadratic twists by: -3 5 -7 |