Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100di |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-300181423500000000 = -1 · 28 · 36 · 59 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -1 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-441000,115762500] |
[a1,a2,a3,a4,a6] |
Generators |
[700:12250:1] |
Generators of the group modulo torsion |
j |
-221184/7 |
j-invariant |
L |
5.4622194541264 |
L(r)(E,1)/r! |
Ω |
0.30560677166194 |
Real period |
R |
0.74472327958531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4900w1 44100dh1 6300bc1 |
Quadratic twists by: -3 5 -7 |