Atkin-Lehner |
2- 3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
108240cc |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-11970478080 = -1 · 216 · 34 · 5 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,560,-1132] |
[a1,a2,a3,a4,a6] |
j |
4733169839/2922480 |
j-invariant |
L |
2.9341357397819 |
L(r)(E,1)/r! |
Ω |
0.73353392630061 |
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 |
13530r1 |
Quadratic twists by: -4 |