Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60516c |
Isogeny class |
Conductor |
60516 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-476381952 = -1 · 28 · 33 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 3 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1968,33620] |
[a1,a2,a3,a4,a6] |
j |
-1769472 |
j-invariant |
L |
6.5647352516641 |
L(r)(E,1)/r! |
Ω |
1.6411838132303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60516e1 60516d1 |
Quadratic twists by: -3 41 |