Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920fg |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3293136000000000000 = 216 · 35 · 512 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17584225,-28375349375] |
[a1,a2,a3,a4,a6] |
Generators |
[-2424:235:1] |
Generators of the group modulo torsion |
j |
9175156963749600923236/50249267578125 |
j-invariant |
L |
4.8848217786008 |
L(r)(E,1)/r! |
Ω |
0.073725697041346 |
Real period |
R |
5.5213921037313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920dr4 18480s3 |
Quadratic twists by: -4 8 |