Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100dg |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-22504230000 = -1 · 24 · 38 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-525,-8575] |
[a1,a2,a3,a4,a6] |
Generators |
[56:371:1] |
Generators of the group modulo torsion |
j |
-6400/9 |
j-invariant |
L |
6.2485054449767 |
L(r)(E,1)/r! |
Ω |
0.47442195184868 |
Real period |
R |
3.2926940989053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700t1 44100cc1 44100df1 |
Quadratic twists by: -3 5 -7 |