Atkin-Lehner |
11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6413d |
Isogeny class |
Conductor |
6413 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-18605341454829371 = -1 · 119 · 534 |
Discriminant |
Eigenvalues |
0 3 1 -4 11+ 0 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2662,6562828] |
[a1,a2,a3,a4,a6] |
j |
-884736/7890481 |
j-invariant |
L |
2.4785832145863 |
L(r)(E,1)/r! |
Ω |
0.30982290182329 |
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 |
102608l1 57717j1 6413c1 |
Quadratic twists by: -4 -3 -11 |