Atkin-Lehner |
3- 11- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
99693f |
Isogeny class |
Conductor |
99693 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
5.0937548671733E+22 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-418638794,3296998502678] |
[a1,a2,a3,a4,a6] |
j |
11130497969019595052078229337/69873180619660498179 |
j-invariant |
L |
1.8058374778268 |
L(r)(E,1)/r! |
Ω |
0.10032429915995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33231e2 |
Quadratic twists by: -3 |