Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160cp |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
802791751680 = 217 · 35 · 5 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 6 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-207265,36388417] |
[a1,a2,a3,a4,a6] |
Generators |
[272:249:1] |
Generators of the group modulo torsion |
j |
7512661019967698/6124815 |
j-invariant |
L |
5.7114921038283 |
L(r)(E,1)/r! |
Ω |
0.74525607333376 |
Real period |
R |
3.8318990667884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160bs2 17040e2 |
Quadratic twists by: -4 8 |