Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536bo |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-21885777752832 = -1 · 28 · 312 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 -4 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6792,-65140] |
[a1,a2,a3,a4,a6] |
Generators |
[170:2450:1] |
Generators of the group modulo torsion |
j |
185673211904/117272043 |
j-invariant |
L |
8.5594329981543 |
L(r)(E,1)/r! |
Ω |
0.39020173529047 |
Real period |
R |
2.7419896631222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16884n1 22512j1 |
Quadratic twists by: -4 -3 |