Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976d |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.4817304011116E+27 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4676207809,-123064883771711] |
[a1,a2,a3,a4,a6] |
Generators |
[37575931178390532584023658264897745519578679414915537935291450909981833382895:-9519865826502354488105487602252590648567737521770182484676285774679108342161408:328335392250053375098264289160133146128438956567713516676897257239676511] |
Generators of the group modulo torsion |
j |
43138515777213631193352207793/5652352909513890349056 |
j-invariant |
L |
4.2187084231009 |
L(r)(E,1)/r! |
Ω |
0.018257004328923 |
Real period |
R |
115.5367098319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38976bw2 1218h2 116928bk2 |
Quadratic twists by: -4 8 -3 |