Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408bq |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
17164992 = 26 · 3 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-668,-6870] |
[a1,a2,a3,a4,a6] |
j |
515849608000/268203 |
j-invariant |
L |
3.7559933771192 |
L(r)(E,1)/r! |
Ω |
0.93899834455146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408t1 28704b2 |
Quadratic twists by: -4 8 |