Atkin-Lehner |
2- 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
45504cd |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-11057472 = -1 · 26 · 37 · 79 |
Discriminant |
Eigenvalues |
2- 3- 4 3 -3 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-160] |
[a1,a2,a3,a4,a6] |
j |
-64/237 |
j-invariant |
L |
4.1259249322329 |
L(r)(E,1)/r! |
Ω |
1.0314812331091 |
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 |
45504bq1 22752i1 15168n1 |
Quadratic twists by: -4 8 -3 |