Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544by |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18121936896 = 212 · 37 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-804,5920] |
[a1,a2,a3,a4,a6] |
Generators |
[5:45:1] |
Generators of the group modulo torsion |
j |
19248832/6069 |
j-invariant |
L |
8.6750791304635 |
L(r)(E,1)/r! |
Ω |
1.1344373706928 |
Real period |
R |
1.911758056077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000364 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544bd2 34272r1 22848bo2 |
Quadratic twists by: -4 8 -3 |