Atkin-Lehner |
2+ 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
85440c |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
765367418880 = 218 · 38 · 5 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152001,-22758975] |
[a1,a2,a3,a4,a6] |
Generators |
[451:468:1] [11322:407511:8] |
Generators of the group modulo torsion |
j |
1481582988342001/2919645 |
j-invariant |
L |
8.9279244354011 |
L(r)(E,1)/r! |
Ω |
0.24178967786332 |
Real period |
R |
36.924340668451 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440bk4 1335b3 |
Quadratic twists by: -4 8 |