Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42140b |
Isogeny class |
Conductor |
42140 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
95505688759040 = 28 · 5 · 79 · 432 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14063,436982] |
[a1,a2,a3,a4,a6] |
j |
29773872/9245 |
j-invariant |
L |
1.6679436786682 |
L(r)(E,1)/r! |
Ω |
0.55598122620383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42140d2 |
Quadratic twists by: -7 |