Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966b |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-66547745816449212 = -1 · 22 · 39 · 72 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-92247,-16418935] |
[a1,a2,a3,a4,a6] |
Generators |
[188344:81644251:1] |
Generators of the group modulo torsion |
j |
-7414875/5684 |
j-invariant |
L |
5.3839553574273 |
L(r)(E,1)/r! |
Ω |
0.13257659253305 |
Real period |
R |
10.152537552982 |
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 |
105966bh1 3654o1 |
Quadratic twists by: -3 29 |