Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600cv |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-19510419456000 = -1 · 216 · 39 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2565,-206550] |
[a1,a2,a3,a4,a6] |
j |
185193/1936 |
j-invariant |
L |
2.7036473641767 |
L(r)(E,1)/r! |
Ω |
0.33795592052441 |
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 |
4950bb1 39600co1 39600cw1 |
Quadratic twists by: -4 -3 5 |