Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312bz |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-873463808 = -1 · 220 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 1 -2 7- -1 5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-289,-2465] |
[a1,a2,a3,a4,a6] |
j |
-208537/68 |
j-invariant |
L |
1.1386914780267 |
L(r)(E,1)/r! |
Ω |
0.56934573975628 |
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 |
53312v1 13328t1 53312bj1 |
Quadratic twists by: -4 8 -7 |