Atkin-Lehner |
2+ 3+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816c |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-152002597774224384 = -1 · 210 · 311 · 117 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 11+ -6 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,51019,18208917] |
[a1,a2,a3,a4,a6] |
Generators |
[169:5624:1] |
Generators of the group modulo torsion |
j |
14342044606398464/148440036888891 |
j-invariant |
L |
2.6174385230569 |
L(r)(E,1)/r! |
Ω |
0.23895889425677 |
Real period |
R |
5.4767547602816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816cs1 5676h1 |
Quadratic twists by: -4 8 |