Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600bs |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
507840000000000 = 215 · 3 · 510 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46408,-3676688] |
[a1,a2,a3,a4,a6] |
Generators |
[932:27600:1] |
Generators of the group modulo torsion |
j |
172715635009/7935000 |
j-invariant |
L |
4.900958457432 |
L(r)(E,1)/r! |
Ω |
0.32620013688028 |
Real period |
R |
1.8780488967233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3450h2 110400in2 82800de2 5520y2 |
Quadratic twists by: -4 8 -3 5 |