Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568z |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
11658240 |
Modular degree for the optimal curve |
Δ |
-277138191494283264 = -1 · 217 · 33 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 5 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-416581857,3272504208255] |
[a1,a2,a3,a4,a6] |
Generators |
[4041093:126960:343] |
Generators of the group modulo torsion |
j |
-778918741604594/27 |
j-invariant |
L |
10.588233390158 |
L(r)(E,1)/r! |
Ω |
0.1648388171505 |
Real period |
R |
1.7842738697937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568cg1 12696e1 101568bh1 |
Quadratic twists by: -4 8 -23 |