Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105264bf |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
224913343396773888 = 216 · 310 · 17 · 434 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-359139,-79635998] |
[a1,a2,a3,a4,a6] |
Generators |
[-659097769:-2791219518:1771561] |
Generators of the group modulo torsion |
j |
1715631229200097/75323023632 |
j-invariant |
L |
10.668831173794 |
L(r)(E,1)/r! |
Ω |
0.19555149456775 |
Real period |
R |
13.6394139818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13158e1 35088y1 |
Quadratic twists by: -4 -3 |