Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bi |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
150062917351635288 = 23 · 36 · 712 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-145899,10605214] |
[a1,a2,a3,a4,a6] |
j |
2919363263895961/1275513751512 |
j-invariant |
L |
3.5148537021503 |
L(r)(E,1)/r! |
Ω |
0.29290447516876 |
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 |
126126gd2 6006c2 |
Quadratic twists by: -3 -7 |