Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520cs |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-63936000000 = -1 · 212 · 33 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,999,999] |
[a1,a2,a3,a4,a6] |
j |
26892143936/15609375 |
j-invariant |
L |
3.9855663069745 |
L(r)(E,1)/r! |
Ω |
0.66426105116328 |
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 |
35520bw1 17760h1 106560gm1 |
Quadratic twists by: -4 8 -3 |