Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920db |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
1157254758200217600 = 212 · 38 · 52 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-562121,153549879] |
[a1,a2,a3,a4,a6] |
Generators |
[217:-6468:1] [-665:15288:1] |
Generators of the group modulo torsion |
j |
4795721641044996544/282532899951225 |
j-invariant |
L |
12.059875556174 |
L(r)(E,1)/r! |
Ω |
0.26999453911329 |
Real period |
R |
0.46528238727677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999859 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920e2 36960bn1 |
Quadratic twists by: -4 8 |