Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ha |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
111152892816000000 = 210 · 310 · 56 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268275,-51021250] |
[a1,a2,a3,a4,a6] |
Generators |
[-301:1568:1] [-269:1296:1] |
Generators of the group modulo torsion |
j |
1556068/81 |
j-invariant |
L |
10.866614612996 |
L(r)(E,1)/r! |
Ω |
0.21045437777096 |
Real period |
R |
6.454257882462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999826 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29400n3 3528l3 1800s4 |
Quadratic twists by: -3 5 -7 |