Atkin-Lehner |
2- 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150hf |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
-257591578464000 = -1 · 28 · 316 · 53 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58145,-5436943] |
[a1,a2,a3,a4,a6] |
j |
-238570254035261/2826793728 |
j-invariant |
L |
2.4578511213396 |
L(r)(E,1)/r! |
Ω |
0.15361569294808 |
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 |
28050bn1 84150dm1 |
Quadratic twists by: -3 5 |