Atkin-Lehner |
2- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
89012t |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
352512 |
Modular degree for the optimal curve |
Δ |
-4632237777181168 = -1 · 24 · 73 · 112 · 178 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11+ 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40942,-731855] |
[a1,a2,a3,a4,a6] |
j |
68000000/41503 |
j-invariant |
L |
1.5110032559837 |
L(r)(E,1)/r! |
Ω |
0.25183388378631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89012l1 |
Quadratic twists by: 17 |