Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656ba |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
5.6251209750504E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71026072,-230391350620] |
[a1,a2,a3,a4,a6] |
j |
21843440425782779332/3100814593569 |
j-invariant |
L |
4.9925225744106 |
L(r)(E,1)/r! |
Ω |
0.052005443483594 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20328p2 121968cf2 3696i2 |
Quadratic twists by: -4 -3 -11 |