Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160cf |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
299768386682880 = 218 · 32 · 5 · 714 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22081,956641] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:284:1] |
Generators of the group modulo torsion |
j |
4542131166481/1143525645 |
j-invariant |
L |
3.3124166486579 |
L(r)(E,1)/r! |
Ω |
0.51165961566964 |
Real period |
R |
1.6184669195216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160z3 17040bd4 |
Quadratic twists by: -4 8 |