Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60192l |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-2889216 = -1 · 29 · 33 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 11- 0 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,98] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:12:1] |
Generators of the group modulo torsion |
j |
-157464/209 |
j-invariant |
L |
6.9994314549107 |
L(r)(E,1)/r! |
Ω |
2.2933282115672 |
Real period |
R |
1.5260422428278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60192k1 120384cc1 60192a1 |
Quadratic twists by: -4 8 -3 |