Atkin-Lehner |
2+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30272l |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-19716799725568 = -1 · 219 · 11 · 434 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5044,163184] |
[a1,a2,a3,a4,a6] |
j |
54138849687/75213622 |
j-invariant |
L |
0.92573379848302 |
L(r)(E,1)/r! |
Ω |
0.46286689924222 |
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 |
30272bb3 946a4 |
Quadratic twists by: -4 8 |