Atkin-Lehner |
2+ 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
90816bd |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
3177833472 = 210 · 38 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 11+ -6 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2593,49895] |
[a1,a2,a3,a4,a6] |
Generators |
[26:27:1] |
Generators of the group modulo torsion |
j |
1883643808000/3103353 |
j-invariant |
L |
8.3054424754101 |
L(r)(E,1)/r! |
Ω |
1.4178801523514 |
Real period |
R |
0.73220596823739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816bw1 11352j1 |
Quadratic twists by: -4 8 |