Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232d |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-1539408865572864 = -1 · 211 · 32 · 113 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 3 3 11+ 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28336,429792] |
[a1,a2,a3,a4,a6] |
Generators |
[202:8619:8] |
Generators of the group modulo torsion |
j |
254527054/155727 |
j-invariant |
L |
8.2403188829612 |
L(r)(E,1)/r! |
Ω |
0.29354555481978 |
Real period |
R |
3.5089608540166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44616v1 6864e1 |
Quadratic twists by: -4 13 |