Atkin-Lehner |
2+ 3+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
13266b |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5332932 = 22 · 33 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-708,-7076] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:8:1] |
Generators of the group modulo torsion |
j |
1454804777691/197516 |
j-invariant |
L |
2.3371029566794 |
L(r)(E,1)/r! |
Ω |
0.92547784907836 |
Real period |
R |
1.2626466203415 |
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 |
106128t2 13266k2 |
Quadratic twists by: -4 -3 |