Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90816v |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-13077504 = -1 · 210 · 33 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 11- 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,-171] |
[a1,a2,a3,a4,a6] |
Generators |
[17:64:1] |
Generators of the group modulo torsion |
j |
-1048576/12771 |
j-invariant |
L |
4.458385042359 |
L(r)(E,1)/r! |
Ω |
0.95570197579172 |
Real period |
R |
2.3325184809936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816ce1 5676d1 |
Quadratic twists by: -4 8 |