Atkin-Lehner |
2- 3- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
86904n |
Isogeny class |
Conductor |
86904 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92672 |
Modular degree for the optimal curve |
Δ |
207502245072 = 24 · 37 · 174 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1506,5069] |
[a1,a2,a3,a4,a6] |
j |
32385538048/17789973 |
j-invariant |
L |
1.7407034348527 |
L(r)(E,1)/r! |
Ω |
0.87035168358365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28968b1 |
Quadratic twists by: -3 |