Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
69360dk |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
80360725720320 = 28 · 32 · 5 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 3 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13101,-387945] |
[a1,a2,a3,a4,a6] |
j |
139264/45 |
j-invariant |
L |
5.4923032313792 |
L(r)(E,1)/r! |
Ω |
0.45769193670351 |
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 |
17340c1 69360cx1 |
Quadratic twists by: -4 17 |