Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400dl |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-55500000000 = -1 · 28 · 3 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333,11463] |
[a1,a2,a3,a4,a6] |
Generators |
[83:750:1] |
Generators of the group modulo torsion |
j |
-8192/111 |
j-invariant |
L |
5.5429884365898 |
L(r)(E,1)/r! |
Ω |
0.94692977511263 |
Real period |
R |
1.4634106409646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11100g1 44400bw1 |
Quadratic twists by: -4 5 |