Atkin-Lehner |
11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6413h |
Isogeny class |
Conductor |
6413 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-3861485962323077 = -1 · 1110 · 533 |
Discriminant |
Eigenvalues |
-1 -1 4 -4 11- -1 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43381,4568136] |
[a1,a2,a3,a4,a6] |
j |
-5096439860329/2179708157 |
j-invariant |
L |
0.82649847059548 |
L(r)(E,1)/r! |
Ω |
0.41324923529774 |
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 |
102608n1 57717v1 583b1 |
Quadratic twists by: -4 -3 -11 |