Atkin-Lehner |
2- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
72896u |
Isogeny class |
Conductor |
72896 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-72896 = -1 · 26 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 1 -2 4 3 0 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-429,3281] |
[a1,a2,a3,a4,a6] |
j |
-136750071808/1139 |
j-invariant |
L |
3.105388682552 |
L(r)(E,1)/r! |
Ω |
3.1053886897798 |
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 |
72896e1 18224i1 |
Quadratic twists by: -4 8 |