Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488hh |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
215151552 = 26 · 34 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1108,-14554] |
[a1,a2,a3,a4,a6] |
j |
6859000000/9801 |
j-invariant |
L |
3.3100093072309 |
L(r)(E,1)/r! |
Ω |
0.82750232780379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488fw1 51744o2 103488fb1 |
Quadratic twists by: -4 8 -7 |