Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6192r |
Isogeny class |
Conductor |
6192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-99379519488 = -1 · 213 · 38 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1149,2306] |
[a1,a2,a3,a4,a6] |
Generators |
[25:216:1] |
Generators of the group modulo torsion |
j |
56181887/33282 |
j-invariant |
L |
3.6941133073523 |
L(r)(E,1)/r! |
Ω |
0.64869073920118 |
Real period |
R |
0.71184022757543 |
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 |
774e2 24768cn2 2064f2 |
Quadratic twists by: -4 8 -3 |