Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490bz |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
18120960 |
Modular degree for the optimal curve |
Δ |
3.9823210080087E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- -7 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44874970,-111669724825] |
[a1,a2,a3,a4,a6] |
Generators |
[-4055:62379:1] |
Generators of the group modulo torsion |
j |
385309196579759881/15353571409920 |
j-invariant |
L |
7.1379192209447 |
L(r)(E,1)/r! |
Ω |
0.058474170879135 |
Real period |
R |
4.0689869918678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83490q1 |
Quadratic twists by: -11 |