Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568ce |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6651316595862798336 = 220 · 34 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-576257,114003105] |
[a1,a2,a3,a4,a6] |
Generators |
[-309282948672:91328487234285:7809531904] |
Generators of the group modulo torsion |
j |
545338513/171396 |
j-invariant |
L |
7.5431043965741 |
L(r)(E,1)/r! |
Ω |
0.21935393472657 |
Real period |
R |
17.19391174835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007808 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101568x2 25392be2 4416w2 |
Quadratic twists by: -4 8 -23 |