Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502bg |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2539612064362824 = 23 · 39 · 113 · 594 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34211,-221669] |
[a1,a2,a3,a4,a6] |
Generators |
[217:1484:1] |
Generators of the group modulo torsion |
j |
169020650889/96938888 |
j-invariant |
L |
9.6530037125194 |
L(r)(E,1)/r! |
Ω |
0.38101233012498 |
Real period |
R |
0.5278155847512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999639687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502b2 128502d2 |
Quadratic twists by: -3 -11 |