Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502ba |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
26110444800516912 = 24 · 37 · 118 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-293508,-60634656] |
[a1,a2,a3,a4,a6] |
Generators |
[-327:708:1] [-305:818:1] |
Generators of the group modulo torsion |
j |
2165213540953/20217648 |
j-invariant |
L |
7.3607508960245 |
L(r)(E,1)/r! |
Ω |
0.20522925266252 |
Real period |
R |
2.2416245490922 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42834bh2 11682v2 |
Quadratic twists by: -3 -11 |