Atkin-Lehner |
2+ 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
8554i |
Isogeny class |
Conductor |
8554 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-1.2942435871133E+21 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- -3 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-71345950,-231966526640] |
[a1,a2,a3,a4,a6] |
j |
-40163511738502157405421235033/1294243587113337014336 |
j-invariant |
L |
0.93503720030337 |
L(r)(E,1)/r! |
Ω |
0.025973255563983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
68432h2 76986bm2 59878c2 111202o2 |
Quadratic twists by: -4 -3 -7 13 |