Atkin-Lehner |
2+ 3+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
50904a |
Isogeny class |
Conductor |
50904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19840 |
Modular degree for the optimal curve |
Δ |
19547136 = 210 · 33 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-699,7110] |
[a1,a2,a3,a4,a6] |
j |
1366128396/707 |
j-invariant |
L |
2.1389339430711 |
L(r)(E,1)/r! |
Ω |
2.1389339428242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101808a1 50904f1 |
Quadratic twists by: -4 -3 |