Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60192y |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
321786432 = 26 · 37 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20685,-1145068] |
[a1,a2,a3,a4,a6] |
Generators |
[2362768:54780957:4096] |
Generators of the group modulo torsion |
j |
20978903512000/6897 |
j-invariant |
L |
7.7546182347428 |
L(r)(E,1)/r! |
Ω |
0.39809404575035 |
Real period |
R |
9.7396812609534 |
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 |
60192c1 120384m1 20064c1 |
Quadratic twists by: -4 8 -3 |