Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100o |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
6809671181250000 = 24 · 33 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-205800,-35714875] |
[a1,a2,a3,a4,a6] |
Generators |
[-92995:134000:343] |
Generators of the group modulo torsion |
j |
3538944/25 |
j-invariant |
L |
5.8949279485976 |
L(r)(E,1)/r! |
Ω |
0.22424518094766 |
Real period |
R |
6.5719672588803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44100r1 8820g1 44100n1 |
Quadratic twists by: -3 5 -7 |