Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472cq |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1204668039168 = -1 · 215 · 34 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129,52767] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:216:1] [42:351:1] |
Generators of the group modulo torsion |
j |
-7301384/36763551 |
j-invariant |
L |
10.959232490306 |
L(r)(E,1)/r! |
Ω |
0.69323599779575 |
Real period |
R |
3.9522011714482 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65472bm3 32736g2 |
Quadratic twists by: -4 8 |