Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900z |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2038093750000 = -1 · 24 · 59 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6125,-196875] |
[a1,a2,a3,a4,a6] |
j |
-16595712/1331 |
j-invariant |
L |
1.6115845347586 |
L(r)(E,1)/r! |
Ω |
0.26859742236284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53900bb1 53900y1 |
Quadratic twists by: 5 -7 |