Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470j |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
440577402322795920 = 24 · 39 · 5 · 73 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-242124,32969600] |
[a1,a2,a3,a4,a6] |
j |
16522921323/4637360 |
j-invariant |
L |
1.1078442824981 |
L(r)(E,1)/r! |
Ω |
0.27696104407042 |
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 |
106470df1 8190bd1 |
Quadratic twists by: -3 13 |