Atkin-Lehner |
2+ 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350cj |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5568000 |
Modular degree for the optimal curve |
Δ |
-164838275316000 = -1 · 25 · 39 · 53 · 115 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11+ 13- 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117115227,487858893381] |
[a1,a2,a3,a4,a6] |
j |
-1949513587550201844335429/1808924832 |
j-invariant |
L |
2.0225692512629 |
L(r)(E,1)/r! |
Ω |
0.25282115569043 |
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 |
21450cx1 64350ex1 |
Quadratic twists by: -3 5 |