Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920p |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1070976614400 = 214 · 32 · 52 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4081,-85775] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:112:1] |
Generators of the group modulo torsion |
j |
458891455696/65367225 |
j-invariant |
L |
5.1058442551485 |
L(r)(E,1)/r! |
Ω |
0.60297566228011 |
Real period |
R |
1.0584681468543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000653 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920gf2 9240o2 |
Quadratic twists by: -4 8 |