Atkin-Lehner |
2- 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306z |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1433903211012608 = 29 · 78 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 2 2 7- -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-128822,-17756621] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:399:1] |
Generators of the group modulo torsion |
j |
2009582291311057/12187976192 |
j-invariant |
L |
16.28632626839 |
L(r)(E,1)/r! |
Ω |
0.25209293579781 |
Real period |
R |
1.7945681439584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9758g2 |
Quadratic twists by: -7 |