Atkin-Lehner |
2- 3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320bn |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
372035942400000000 = 217 · 3 · 58 · 174 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-297776,-55132224] |
[a1,a2,a3,a4,a6] |
Generators |
[-230:1066:1] |
Generators of the group modulo torsion |
j |
712909329176250289/90829087500000 |
j-invariant |
L |
4.3429925594123 |
L(r)(E,1)/r! |
Ω |
0.20608798788298 |
Real period |
R |
5.268371768765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790y4 |
Quadratic twists by: -4 |