Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10450bd |
Isogeny class |
Conductor |
10450 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-149346213429248000 = -1 · 232 · 53 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11- -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80250,-20529223] |
[a1,a2,a3,a4,a6] |
Generators |
[689:15495:1] |
Generators of the group modulo torsion |
j |
-457239508039360773/1194769707433984 |
j-invariant |
L |
6.8174315929415 |
L(r)(E,1)/r! |
Ω |
0.13186579516811 |
Real period |
R |
0.80780894320555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600ci1 94050bu1 10450n1 114950bk1 |
Quadratic twists by: -4 -3 5 -11 |