Atkin-Lehner |
2- 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072ci |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2459959296 = -1 · 221 · 3 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,255,-1887] |
[a1,a2,a3,a4,a6] |
j |
6967871/9384 |
j-invariant |
L |
3.0874420247454 |
L(r)(E,1)/r! |
Ω |
0.77186050793199 |
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 |
75072bo1 18768ba1 |
Quadratic twists by: -4 8 |