Atkin-Lehner |
2+ 3- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
29370p |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3.9074114374415E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30038,-300757144] |
[a1,a2,a3,a4,a6] |
j |
-2997201678998045401/39074114374415155200 |
j-invariant |
L |
3.3546286375513 |
L(r)(E,1)/r! |
Ω |
0.093184128820886 |
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 |
88110cd2 |
Quadratic twists by: -3 |