Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190ca |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-249390964060875000 = -1 · 23 · 310 · 56 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-460742,122864141] |
[a1,a2,a3,a4,a6] |
j |
-14837772556740428569/342100087875000 |
j-invariant |
L |
3.7377001161702 |
L(r)(E,1)/r! |
Ω |
0.31147500968085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
65520ea4 2730o4 40950ba4 57330ee4 |
Quadratic twists by: -4 -3 5 -7 |