Atkin-Lehner |
11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6413b |
Isogeny class |
Conductor |
6413 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6623475064019 = 119 · 532 |
Discriminant |
Eigenvalues |
-1 -2 -2 4 11+ 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5629,-105786] |
[a1,a2,a3,a4,a6] |
Generators |
[99:507:1] |
Generators of the group modulo torsion |
j |
8365427/2809 |
j-invariant |
L |
1.6690827738687 |
L(r)(E,1)/r! |
Ω |
0.56609966884431 |
Real period |
R |
2.9483903024995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102608g2 57717o2 6413a2 |
Quadratic twists by: -4 -3 -11 |