Atkin-Lehner |
2- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664bl |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
195596288 = 212 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 0 2 0 6 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-164,448] |
[a1,a2,a3,a4,a6] |
j |
119095488/47753 |
j-invariant |
L |
3.2491747123149 |
L(r)(E,1)/r! |
Ω |
1.6245873559599 |
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 |
57664bm1 28832l1 |
Quadratic twists by: -4 8 |