Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400hd |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.012845712725E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75852008,258816095988] |
[a1,a2,a3,a4,a6] |
Generators |
[4564:-87846:1] |
Generators of the group modulo torsion |
j |
-754127868744065783521/15825714261328125 |
j-invariant |
L |
8.9938855842002 |
L(r)(E,1)/r! |
Ω |
0.08771876307091 |
Real period |
R |
2.1360608600858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5775c6 18480cd6 |
Quadratic twists by: -4 5 |