Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880bh |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
133776442736640000 = 217 · 38 · 54 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128096,1355520] |
[a1,a2,a3,a4,a6] |
Generators |
[-272:4000:1] |
Generators of the group modulo torsion |
j |
56751044592329569/32660264340000 |
j-invariant |
L |
5.1809481975357 |
L(r)(E,1)/r! |
Ω |
0.28002921387121 |
Real period |
R |
2.3126820082009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bj3 |
Quadratic twists by: -4 |