Atkin-Lehner |
2+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44608u |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
59611276288 = 210 · 175 · 41 |
Discriminant |
Eigenvalues |
2+ -1 2 -5 4 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1857,-27863] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:289:8] |
Generators of the group modulo torsion |
j |
691979636992/58214137 |
j-invariant |
L |
4.8319244230332 |
L(r)(E,1)/r! |
Ω |
0.73113288364399 |
Real period |
R |
1.3217636714539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44608bn1 5576i1 |
Quadratic twists by: -4 8 |