Atkin-Lehner |
2+ 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
57936i |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-173808 = -1 · 24 · 32 · 17 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -3 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12,-9] |
[a1,a2,a3,a4,a6] |
j |
10976000/10863 |
j-invariant |
L |
3.4985353784351 |
L(r)(E,1)/r! |
Ω |
1.7492676895974 |
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 |
28968h1 |
Quadratic twists by: -4 |