Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200bj |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
92217216960000000 = 212 · 39 · 57 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-198300,30688000] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:6732:1] |
Generators of the group modulo torsion |
j |
18483505984/1976535 |
j-invariant |
L |
6.8959850064034 |
L(r)(E,1)/r! |
Ω |
0.32839996453649 |
Real period |
R |
2.6248423233057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200u3 26400bs3 15840bf3 |
Quadratic twists by: -4 -3 5 |