Atkin-Lehner |
2- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64856j |
Isogeny class |
Conductor |
64856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9312 |
Modular degree for the optimal curve |
Δ |
-2075392 = -1 · 28 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 0 2 4 11- 4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44,132] |
[a1,a2,a3,a4,a6] |
j |
-304128/67 |
j-invariant |
L |
4.9952207467259 |
L(r)(E,1)/r! |
Ω |
2.4976103742778 |
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 |
129712d1 64856d1 |
Quadratic twists by: -4 -11 |