Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64944bn |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
113346484204732416 = 220 · 312 · 112 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-233139,-40186510] |
[a1,a2,a3,a4,a6] |
j |
469332926706097/37959508224 |
j-invariant |
L |
3.4941406906508 |
L(r)(E,1)/r! |
Ω |
0.21838379327361 |
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 |
8118a2 21648q2 |
Quadratic twists by: -4 -3 |