Atkin-Lehner |
2- 3+ 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050bg |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
435052477617187500 = 22 · 38 · 510 · 75 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 6 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-590013,171281031] |
[a1,a2,a3,a4,a6] |
j |
2325993286982425/44549373708 |
j-invariant |
L |
4.7643595405855 |
L(r)(E,1)/r! |
Ω |
0.29777247016937 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106050z1 |
Quadratic twists by: 5 |