Atkin-Lehner |
2- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44608bp |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
582862351885312 = 210 · 173 · 415 |
Discriminant |
Eigenvalues |
2- -1 -2 -1 -4 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34289,-2138807] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:533:1] [216:697:1] |
Generators of the group modulo torsion |
j |
4354124870864128/569201515513 |
j-invariant |
L |
6.3286299481472 |
L(r)(E,1)/r! |
Ω |
0.35386643510933 |
Real period |
R |
1.1922822323611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44608s1 11152g1 |
Quadratic twists by: -4 8 |