Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8892o |
Isogeny class |
Conductor |
8892 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-1581906753648 = -1 · 24 · 38 · 133 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1455,56617] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:171:1] |
Generators of the group modulo torsion |
j |
29205536000/135623007 |
j-invariant |
L |
3.7377307668458 |
L(r)(E,1)/r! |
Ω |
0.60618943522148 |
Real period |
R |
1.0276575136616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
35568bz2 2964e2 115596m2 |
Quadratic twists by: -4 -3 13 |