Atkin-Lehner |
3+ 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
127743p |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.6269122054584E+24 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65561535,-213369202836] |
[a1,a2,a3,a4,a6] |
j |
-264900526825541586603625/13828525575724539603 |
j-invariant |
L |
0.42316418369929 |
L(r)(E,1)/r! |
Ω |
0.026447817490307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18249p2 |
Quadratic twists by: -7 |