Atkin-Lehner |
2- 5+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72080f |
Isogeny class |
Conductor |
72080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1330054758400 = -1 · 216 · 52 · 172 · 532 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 2 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136,55536] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:1887:8] |
Generators of the group modulo torsion |
j |
-68417929/324720400 |
j-invariant |
L |
11.205307766647 |
L(r)(E,1)/r! |
Ω |
0.68766701227662 |
Real period |
R |
4.073667766229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994698 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9010b2 |
Quadratic twists by: -4 |