Atkin-Lehner |
11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6413a |
Isogeny class |
Conductor |
6413 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3738779 = 113 · 532 |
Discriminant |
Eigenvalues |
1 -2 -2 -4 11+ 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47,75] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:11:1] |
Generators of the group modulo torsion |
j |
8365427/2809 |
j-invariant |
L |
1.9330753726268 |
L(r)(E,1)/r! |
Ω |
2.2911211792968 |
Real period |
R |
0.84372463145755 |
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 |
102608f2 57717p2 6413b2 |
Quadratic twists by: -4 -3 -11 |