Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920hn |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-777529022054400 = -1 · 215 · 33 · 52 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20895,676575] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:600:1] [18:1029:1] |
Generators of the group modulo torsion |
j |
30787903653688/23728302675 |
j-invariant |
L |
12.56194912866 |
L(r)(E,1)/r! |
Ω |
0.32342325517032 |
Real period |
R |
3.2367155958392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920gc3 36960g2 |
Quadratic twists by: -4 8 |