Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
101400z |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8905743409440384000 = -1 · 210 · 38 · 53 · 139 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62248,143724892] |
[a1,a2,a3,a4,a6] |
Generators |
[387499:13346208:343] |
Generators of the group modulo torsion |
j |
-19652/6561 |
j-invariant |
L |
6.7760667761778 |
L(r)(E,1)/r! |
Ω |
0.18810080582427 |
Real period |
R |
9.0058980923055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003371 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101400du2 101400ct2 |
Quadratic twists by: 5 13 |