Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100cv |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-40507614000 = -1 · 24 · 310 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-840,-13475] |
[a1,a2,a3,a4,a6] |
Generators |
[575:13770:1] |
Generators of the group modulo torsion |
j |
-131072/81 |
j-invariant |
L |
5.8364251750034 |
L(r)(E,1)/r! |
Ω |
0.43129381842087 |
Real period |
R |
3.3830911351637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bq1 44100ct1 44100cs1 |
Quadratic twists by: -3 5 -7 |