Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50960bc |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1118208 |
Modular degree for the optimal curve |
Δ |
-1678710051200000000 = -1 · 213 · 58 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3441776,-2459599276] |
[a1,a2,a3,a4,a6] |
j |
-27279055902727/10156250 |
j-invariant |
L |
0.88671525698608 |
L(r)(E,1)/r! |
Ω |
0.055419703609947 |
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 |
6370o1 50960bq1 |
Quadratic twists by: -4 -7 |