Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552du |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-12793675776 = -1 · 220 · 3 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 4 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-897,11391] |
[a1,a2,a3,a4,a6] |
Generators |
[5:84:1] |
Generators of the group modulo torsion |
j |
-304821217/48804 |
j-invariant |
L |
8.2447219251888 |
L(r)(E,1)/r! |
Ω |
1.2176802743569 |
Real period |
R |
1.6927107420353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552i1 27888y1 |
Quadratic twists by: -4 8 |