Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592bc |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5787363101765566464 = 215 · 39 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1910451,-1009758350] |
[a1,a2,a3,a4,a6] |
Generators |
[2399:90630:1] |
Generators of the group modulo torsion |
j |
258252149810350513/1938176193096 |
j-invariant |
L |
3.2261500827137 |
L(r)(E,1)/r! |
Ω |
0.12847306249274 |
Real period |
R |
6.2778726141443 |
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 |
2574m3 82368fc4 6864y3 |
Quadratic twists by: -4 8 -3 |