Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712dh |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
28477329408 = 212 · 37 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1380,-17984] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:32:1] |
Generators of the group modulo torsion |
j |
97336000/9537 |
j-invariant |
L |
6.8897995534001 |
L(r)(E,1)/r! |
Ω |
0.78823895065533 |
Real period |
R |
2.1851874775881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712eg2 53856y1 35904db2 |
Quadratic twists by: -4 8 -3 |