Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920gw |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
642585968640 = 214 · 33 · 5 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2161,2159] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:168:1] |
Generators of the group modulo torsion |
j |
68150496976/39220335 |
j-invariant |
L |
7.2505697229004 |
L(r)(E,1)/r! |
Ω |
0.77698109261575 |
Real period |
R |
0.38882165172265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920a2 18480cg2 |
Quadratic twists by: -4 8 |