Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320cb |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-36010967040 = -1 · 214 · 38 · 5 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,-9135] |
[a1,a2,a3,a4,a6] |
j |
21296/2197935 |
j-invariant |
L |
1.0661244125971 |
L(r)(E,1)/r! |
Ω |
0.53306220936098 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320bg1 16080g1 |
Quadratic twists by: -4 8 |