Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
117216bd |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1218181814784 = -1 · 29 · 312 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2661,-5330] |
[a1,a2,a3,a4,a6] |
Generators |
[5:90:1] [18:220:1] |
Generators of the group modulo torsion |
j |
5582912824/3263733 |
j-invariant |
L |
12.398698205112 |
L(r)(E,1)/r! |
Ω |
0.50908408232103 |
Real period |
R |
6.088728089299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117216t2 39072g2 |
Quadratic twists by: -4 -3 |