Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488dc |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3555899394195456 = 215 · 32 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-139617,19827135] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:5880:1] |
Generators of the group modulo torsion |
j |
78073482824/922383 |
j-invariant |
L |
10.886202092637 |
L(r)(E,1)/r! |
Ω |
0.4459707231239 |
Real period |
R |
1.5256329486922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488bw3 51744x3 14784o3 |
Quadratic twists by: -4 8 -7 |