Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112200bc |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
15232496400000000 = 210 · 32 · 58 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-139008,-19090512] |
[a1,a2,a3,a4,a6] |
Generators |
[3123:173250:1] |
Generators of the group modulo torsion |
j |
18566337396964/952031025 |
j-invariant |
L |
6.6492431888871 |
L(r)(E,1)/r! |
Ω |
0.24803966066256 |
Real period |
R |
3.3508971505494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077885 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22440u2 |
Quadratic twists by: 5 |