Atkin-Lehner |
2- 3+ 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16422s |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
2847710380032 = 218 · 34 · 73 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -4 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4330,-75529] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:151:1] [89:-549:1] |
Generators of the group modulo torsion |
j |
8978290843324321/2847710380032 |
j-invariant |
L |
7.2145128383578 |
L(r)(E,1)/r! |
Ω |
0.60326082406278 |
Real period |
R |
0.44293308721582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49266v1 114954cj1 |
Quadratic twists by: -3 -7 |