Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712di |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
60144119709696 = 218 · 38 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9804,19600] |
[a1,a2,a3,a4,a6] |
Generators |
[0:140:1] |
Generators of the group modulo torsion |
j |
545338513/314721 |
j-invariant |
L |
8.3031108645974 |
L(r)(E,1)/r! |
Ω |
0.53076420170491 |
Real period |
R |
3.9109226021624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015815 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107712bx2 26928bn2 35904de2 |
Quadratic twists by: -4 8 -3 |