Atkin-Lehner |
3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
109551k |
Isogeny class |
Conductor |
109551 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33711993277209 = 32 · 132 · 536 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12699,-475776] |
[a1,a2,a3,a4,a6] |
Generators |
[8175:126686:27] |
Generators of the group modulo torsion |
j |
10218313/1521 |
j-invariant |
L |
3.0967193205942 |
L(r)(E,1)/r! |
Ω |
0.4542172375121 |
Real period |
R |
6.8177054491799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999952519 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39a1 |
Quadratic twists by: 53 |