Atkin-Lehner |
2- 3+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
110448ba |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
2422660091904 = 212 · 33 · 135 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 -6 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3552,32112] |
[a1,a2,a3,a4,a6] |
Generators |
[1:169:1] |
Generators of the group modulo torsion |
j |
44814532608/21906287 |
j-invariant |
L |
7.5942104198872 |
L(r)(E,1)/r! |
Ω |
0.72474201448777 |
Real period |
R |
1.0478501650833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032458 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6903c1 110448bc1 |
Quadratic twists by: -4 -3 |