Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696co |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
47608675209216 = 212 · 38 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10164,-212960] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:360:1] |
Generators of the group modulo torsion |
j |
21952/9 |
j-invariant |
L |
5.5326072636063 |
L(r)(E,1)/r! |
Ω |
0.49289642938411 |
Real period |
R |
2.8061713034055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001539 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69696cl2 34848cg1 23232ch2 576b2 |
Quadratic twists by: -4 8 -3 -11 |