Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200dc |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1363720121280000000 = 212 · 318 · 57 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-284700,-16184000] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:5148:1] |
Generators of the group modulo torsion |
j |
54698902336/29229255 |
j-invariant |
L |
7.0802575377273 |
L(r)(E,1)/r! |
Ω |
0.21975706277791 |
Real period |
R |
4.027320809343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200dt3 26400t3 15840a3 |
Quadratic twists by: -4 -3 5 |