Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966b |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
137848902048359082 = 2 · 39 · 7 · 298 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1681737,-838821061] |
[a1,a2,a3,a4,a6] |
Generators |
[38682249709:16767863418534:205379] |
Generators of the group modulo torsion |
j |
44928178875/11774 |
j-invariant |
L |
5.3839553574273 |
L(r)(E,1)/r! |
Ω |
0.13257659253305 |
Real period |
R |
20.305075105963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105966bh2 3654o2 |
Quadratic twists by: -3 29 |