Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520k |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-16857676800 = -1 · 210 · 33 · 52 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 3 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,588,2984] |
[a1,a2,a3,a4,a6] |
j |
813189888/609725 |
j-invariant |
L |
3.1547642831532 |
L(r)(E,1)/r! |
Ω |
0.78869107023455 |
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 |
83520dt1 5220a1 83520e2 |
Quadratic twists by: -4 8 -3 |