Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400cl |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
29376000 = 29 · 33 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2715,-54450] |
[a1,a2,a3,a4,a6] |
Generators |
[482:209:8] |
Generators of the group modulo torsion |
j |
1280824056/17 |
j-invariant |
L |
7.7909047323077 |
L(r)(E,1)/r! |
Ω |
0.66138972255466 |
Real period |
R |
5.8897987671367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999837106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400l2 122400n2 122400p2 |
Quadratic twists by: -4 -3 5 |