Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080dq |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-330548428800 = -1 · 214 · 39 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -1 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1728,864] |
[a1,a2,a3,a4,a6] |
j |
1769472/1025 |
j-invariant |
L |
2.3098712905885 |
L(r)(E,1)/r! |
Ω |
0.57746796512248 |
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 |
118080t1 29520ba1 118080dc1 |
Quadratic twists by: -4 8 -3 |