Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200dw |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3276000000 = 28 · 32 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12108,-508788] |
[a1,a2,a3,a4,a6] |
j |
49081386832/819 |
j-invariant |
L |
0.9102455867801 |
L(r)(E,1)/r! |
Ω |
0.45512311942331 |
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 |
27300m2 4368v2 |
Quadratic twists by: -4 5 |