Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352ez |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-5.9411806064916E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,905676,-165743944] |
[a1,a2,a3,a4,a6] |
Generators |
[1237:53361:1] |
Generators of the group modulo torsion |
j |
110056273881297152/79587574568271 |
j-invariant |
L |
5.1052668664249 |
L(r)(E,1)/r! |
Ω |
0.11103993035103 |
Real period |
R |
0.65681222579558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352z1 11088bs1 14784bz1 |
Quadratic twists by: -4 8 -3 |