Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60192y |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-17754888172032 = -1 · 29 · 38 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20595,-1155526] |
[a1,a2,a3,a4,a6] |
Generators |
[2278:108504:1] |
Generators of the group modulo torsion |
j |
-2588282117000/47568609 |
j-invariant |
L |
7.7546182347428 |
L(r)(E,1)/r! |
Ω |
0.19904702287517 |
Real period |
R |
4.8698406304767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60192c2 120384m2 20064c2 |
Quadratic twists by: -4 8 -3 |