Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60112w |
Isogeny class |
Conductor |
60112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-164515491086336 = -1 · 219 · 13 · 176 |
Discriminant |
Eigenvalues |
2- -3 1 1 -2 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12427,-815558] |
[a1,a2,a3,a4,a6] |
j |
-2146689/1664 |
j-invariant |
L |
0.43754813992516 |
L(r)(E,1)/r! |
Ω |
0.21877406949905 |
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 |
7514i1 208d1 |
Quadratic twists by: -4 17 |