Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568d |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-10166754307534848 = -1 · 212 · 36 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -4 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,45847,3027369] |
[a1,a2,a3,a4,a6] |
Generators |
[31:2116:1] [661:17936:1] |
Generators of the group modulo torsion |
j |
17576000/16767 |
j-invariant |
L |
10.225386424277 |
L(r)(E,1)/r! |
Ω |
0.26705478956571 |
Real period |
R |
4.7861837831711 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999771 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568q2 50784x1 4416b2 |
Quadratic twists by: -4 8 -23 |