Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200dq |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
171478296000000 = 29 · 311 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70567275,228167158750] |
[a1,a2,a3,a4,a6] |
Generators |
[130215:-88550:27] |
Generators of the group modulo torsion |
j |
6663712298552914184/29403 |
j-invariant |
L |
8.2818123672187 |
L(r)(E,1)/r! |
Ω |
0.27402964947752 |
Real period |
R |
3.7777902787821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200bv4 26400x4 3168i3 |
Quadratic twists by: -4 -3 5 |