Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600bm |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1218375000000 = -1 · 26 · 33 · 59 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-458,-53088] |
[a1,a2,a3,a4,a6] |
j |
-85184/9747 |
j-invariant |
L |
0.76589575262959 |
L(r)(E,1)/r! |
Ω |
0.38294787656646 |
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 |
45600u1 91200ej1 45600x1 |
Quadratic twists by: -4 8 5 |