Atkin-Lehner |
2+ 3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60384g |
Isogeny class |
Conductor |
60384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1878183936 = -1 · 212 · 36 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 5 0 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13265,-583647] |
[a1,a2,a3,a4,a6] |
j |
-63025785430336/458541 |
j-invariant |
L |
3.5588510428352 |
L(r)(E,1)/r! |
Ω |
0.22242818987504 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60384y1 120768bo1 |
Quadratic twists by: -4 8 |