Atkin-Lehner |
2- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17200bj |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-96940851200000000 = -1 · 227 · 58 · 432 |
Discriminant |
Eigenvalues |
2- 3 5- 2 1 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4862875,-4127533750] |
[a1,a2,a3,a4,a6] |
j |
-7948461006944145/60588032 |
j-invariant |
L |
5.4899683323506 |
L(r)(E,1)/r! |
Ω |
0.050833040114357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2150r1 68800eg1 17200u1 |
Quadratic twists by: -4 8 5 |