Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350bf |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2134080 |
Modular degree for the optimal curve |
Δ |
-3989343232000000000 = -1 · 219 · 59 · 72 · 433 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -6 -2 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,250633,83016541] |
[a1,a2,a3,a4,a6] |
Generators |
[843:29459:1] |
Generators of the group modulo torsion |
j |
18193295601243/41684566016 |
j-invariant |
L |
2.4564686909843 |
L(r)(E,1)/r! |
Ω |
0.17216010864711 |
Real period |
R |
7.13425635531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999694331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350dn1 105350z1 |
Quadratic twists by: 5 -7 |