Atkin-Lehner |
2+ 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966o |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-3.0314532569179E+22 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5370750,-6873137348] |
[a1,a2,a3,a4,a6] |
j |
23501790452547877931999/41583720945376050056 |
j-invariant |
L |
0.61653623207708 |
L(r)(E,1)/r! |
Ω |
0.061653623216082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774j2 |
Quadratic twists by: -3 |