Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472y |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-118793037940785152 = -1 · 222 · 78 · 173 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,38420,16327344] |
[a1,a2,a3,a4,a6] |
Generators |
[38:4224:1] [678:-18816:1] |
Generators of the group modulo torsion |
j |
4869777375/92236816 |
j-invariant |
L |
12.32573150508 |
L(r)(E,1)/r! |
Ω |
0.24748822379798 |
Real period |
R |
3.1127065654193 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472bu2 4046o2 129472a2 |
Quadratic twists by: -4 8 17 |