Atkin-Lehner |
2- 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11856t |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2169968112 = -1 · 24 · 32 · 133 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,162,2043] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:39:1] |
Generators of the group modulo torsion |
j |
29205536000/135623007 |
j-invariant |
L |
4.659060502719 |
L(r)(E,1)/r! |
Ω |
1.0499509008151 |
Real period |
R |
0.7395679961641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2964e2 47424dd2 35568bz2 |
Quadratic twists by: -4 8 -3 |