Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bn |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4.9929694086158E+23 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 11- 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58821975,170277638650] |
[a1,a2,a3,a4,a6] |
Generators |
[19993950:540635293:5832] |
Generators of the group modulo torsion |
j |
92162208697/2044416 |
j-invariant |
L |
2.1776426420532 |
L(r)(E,1)/r! |
Ω |
0.092957109428635 |
Real period |
R |
11.713158096189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154bi2 122694df2 |
Quadratic twists by: -11 13 |