Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136r |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10578455953408 = -1 · 218 · 79 |
Discriminant |
Eigenvalues |
2- 0 0 7- 4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6860,-268912] |
[a1,a2,a3,a4,a6] |
Generators |
[5506:408512:1] |
Generators of the group modulo torsion |
j |
-3375 |
j-invariant |
L |
3.3808251732758 |
L(r)(E,1)/r! |
Ω |
0.25834964372349 |
Real period |
R |
6.5431194805406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3136d3 784h3 28224fg3 78400gw3 |
Quadratic twists by: -4 8 -3 5 |