Atkin-Lehner |
2+ 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190bh |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-1.4225056304611E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9730817,-13883715694] |
[a1,a2,a3,a4,a6] |
j |
57519563401957999679/80296734375000000 |
j-invariant |
L |
3.9543600003306 |
L(r)(E,1)/r! |
Ω |
0.054921666672954 |
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 |
4290bb5 |
Quadratic twists by: -11 |