Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8800c |
Isogeny class |
Conductor |
8800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6875000000000000 = 212 · 516 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11+ -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105633,12633137] |
[a1,a2,a3,a4,a6] |
Generators |
[347:4200:1] |
Generators of the group modulo torsion |
j |
2036792051776/107421875 |
j-invariant |
L |
5.890526094123 |
L(r)(E,1)/r! |
Ω |
0.41480000241233 |
Real period |
R |
3.5502206243164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8800h2 17600co1 79200dw2 1760l2 |
Quadratic twists by: -4 8 -3 5 |