Atkin-Lehner |
2+ 3+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816d |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
4359168 = 210 · 32 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -1 11+ 0 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-137,657] |
[a1,a2,a3,a4,a6] |
Generators |
[8:3:1] |
Generators of the group modulo torsion |
j |
279738112/4257 |
j-invariant |
L |
5.7505801663105 |
L(r)(E,1)/r! |
Ω |
2.4619488008133 |
Real period |
R |
1.1678919079224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816ct1 5676i1 |
Quadratic twists by: -4 8 |