Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920gk |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
42410673930240000 = 218 · 34 · 54 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36801121,-85941253345] |
[a1,a2,a3,a4,a6] |
Generators |
[92026:-8051925:8] |
Generators of the group modulo torsion |
j |
21026497979043461623321/161783881875 |
j-invariant |
L |
6.495636669377 |
L(r)(E,1)/r! |
Ω |
0.061296304476712 |
Real period |
R |
6.6231936049033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920u4 18480cf3 |
Quadratic twists by: -4 8 |