Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101920bi |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-1296923422412800 = -1 · 212 · 52 · 78 · 133 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 3 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,26068,614656] |
[a1,a2,a3,a4,a6] |
Generators |
[0:784:1] |
Generators of the group modulo torsion |
j |
82966464/54925 |
j-invariant |
L |
6.8207033516881 |
L(r)(E,1)/r! |
Ω |
0.30302456084692 |
Real period |
R |
1.8757289578827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101920bj1 101920bb1 |
Quadratic twists by: -4 -7 |