Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150n |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
140494889126916000 = 25 · 310 · 53 · 296 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-696365,222649725] |
[a1,a2,a3,a4,a6] |
j |
502270291349/1889568 |
j-invariant |
L |
0.65708807548051 |
L(r)(E,1)/r! |
Ω |
0.32854319442711 |
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 |
126150de4 150a4 |
Quadratic twists by: 5 29 |