Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44200o |
Isogeny class |
Conductor |
44200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
11492000000 = 28 · 56 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-575,1250] |
[a1,a2,a3,a4,a6] |
Generators |
[1:26:1] |
Generators of the group modulo torsion |
j |
5256144/2873 |
j-invariant |
L |
4.6181676181746 |
L(r)(E,1)/r! |
Ω |
1.1091170944642 |
Real period |
R |
1.0409558290141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88400h1 1768a1 |
Quadratic twists by: -4 5 |