Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
6962k |
Isogeny class |
Conductor |
6962 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
132240 |
Modular degree for the optimal curve |
Δ |
-1304770109672783872 = -1 · 219 · 597 |
Discriminant |
Eigenvalues |
2- 2 2 -3 -1 -3 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,193123,44275699] |
[a1,a2,a3,a4,a6] |
Generators |
[-3507:113132:27] |
Generators of the group modulo torsion |
j |
18884848247/30932992 |
j-invariant |
L |
8.2000049808117 |
L(r)(E,1)/r! |
Ω |
0.18548641438886 |
Real period |
R |
0.58168574089155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55696x1 62658j1 118d1 |
Quadratic twists by: -4 -3 -59 |