Atkin-Lehner |
2- 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10626p |
Isogeny class |
Conductor |
10626 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
Δ |
-153574604080128 = -1 · 210 · 33 · 73 · 113 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30485726893,-2048771311274671] |
[a1,a2,a3,a4,a6] |
j |
-3133382230165522315000208250857964625/153574604080128 |
j-invariant |
L |
4.6273296454561 |
L(r)(E,1)/r! |
Ω |
0.0057127526487113 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85008bi2 31878q2 74382u2 116886j2 |
Quadratic twists by: -4 -3 -7 -11 |