Atkin-Lehner |
2+ 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
90168c |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4563363225333788928 = 28 · 32 · 136 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-447468,52207668] |
[a1,a2,a3,a4,a6] |
Generators |
[1434:48552:1] |
Generators of the group modulo torsion |
j |
1603530178000/738501777 |
j-invariant |
L |
4.6060072948114 |
L(r)(E,1)/r! |
Ω |
0.21907651573632 |
Real period |
R |
2.6280813834996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999875441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5304e2 |
Quadratic twists by: 17 |