Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240u |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
463574016000000 = 216 · 39 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48492,-3977424] |
[a1,a2,a3,a4,a6] |
Generators |
[292:2600:1] |
Generators of the group modulo torsion |
j |
9776035692/359375 |
j-invariant |
L |
6.1852341707096 |
L(r)(E,1)/r! |
Ω |
0.32245048548352 |
Real period |
R |
3.1969942926839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240dv2 8280c2 66240c2 |
Quadratic twists by: -4 8 -3 |