Atkin-Lehner |
2- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
84656s |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2284800 |
Modular degree for the optimal curve |
Δ |
-5032267823460646912 = -1 · 229 · 117 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 2 2 5 11+ 13- -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1608672,-792170752] |
[a1,a2,a3,a4,a6] |
j |
-112400059784260146913/1228581011587072 |
j-invariant |
L |
6.698380164792 |
L(r)(E,1)/r! |
Ω |
0.066983801271692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582o1 |
Quadratic twists by: -4 |