Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
106470en |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1916928 |
Modular degree for the optimal curve |
Δ |
2454645527227005840 = 24 · 310 · 5 · 72 · 139 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-351383,-27213793] |
[a1,a2,a3,a4,a6] |
j |
620650477/317520 |
j-invariant |
L |
1.6570472188208 |
L(r)(E,1)/r! |
Ω |
0.20713091227662 |
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 |
35490bt1 106470dd1 |
Quadratic twists by: -3 13 |