Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49980bc |
Isogeny class |
Conductor |
49980 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
777936835746000 = 24 · 34 · 53 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27505,1123100] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:1470:1] |
Generators of the group modulo torsion |
j |
1222548865024/413272125 |
j-invariant |
L |
8.0300394369215 |
L(r)(E,1)/r! |
Ω |
0.46415013194549 |
Real period |
R |
1.4417101429518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999782 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140d1 |
Quadratic twists by: -7 |