Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8800u |
Isogeny class |
Conductor |
8800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
440000000 = 29 · 57 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14675,684250] |
[a1,a2,a3,a4,a6] |
Generators |
[2478:8974:27] |
Generators of the group modulo torsion |
j |
43688592648/55 |
j-invariant |
L |
4.2078571798972 |
L(r)(E,1)/r! |
Ω |
1.4147546464541 |
Real period |
R |
5.9485327585865 |
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 |
8800a2 17600a3 79200t4 1760f3 |
Quadratic twists by: -4 8 -3 5 |