Atkin-Lehner |
2- 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350ey |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
741888 |
Modular degree for the optimal curve |
Δ |
-896563553242500 = -1 · 22 · 313 · 54 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 11+ 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-118355,-15708553] |
[a1,a2,a3,a4,a6] |
j |
-402413512831225/1967766372 |
j-invariant |
L |
2.0585724204043 |
L(r)(E,1)/r! |
Ω |
0.1286607759042 |
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 |
21450bk1 64350bh1 |
Quadratic twists by: -3 5 |