Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13266i |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2298022108630652448 = -1 · 25 · 38 · 112 · 676 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16677,-72934331] |
[a1,a2,a3,a4,a6] |
Generators |
[2955:159062:1] |
Generators of the group modulo torsion |
j |
703615376297807/3152293701825312 |
j-invariant |
L |
3.3010429513092 |
L(r)(E,1)/r! |
Ω |
0.11997993950113 |
Real period |
R |
6.8783226700954 |
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 |
106128bj2 4422j2 |
Quadratic twists by: -4 -3 |