Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696cx |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2793042278940672 = 216 · 37 · 117 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3068076,2068459184] |
[a1,a2,a3,a4,a6] |
Generators |
[286:34848:1] |
Generators of the group modulo torsion |
j |
37736227588/33 |
j-invariant |
L |
4.3267745632806 |
L(r)(E,1)/r! |
Ω |
0.37867174146356 |
Real period |
R |
1.4282735182837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696gq4 8712j4 23232q4 6336q3 |
Quadratic twists by: -4 8 -3 -11 |