Atkin-Lehner |
2+ 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160l |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-26801602560000 = -1 · 226 · 32 · 54 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25505,-1578975] |
[a1,a2,a3,a4,a6] |
j |
-6999657683689/102240000 |
j-invariant |
L |
1.5098181940756 |
L(r)(E,1)/r! |
Ω |
0.18872727512681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160dm1 2130e1 |
Quadratic twists by: -4 8 |