Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28704m |
Isogeny class |
Conductor |
28704 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2702868300288 = 29 · 310 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 -6 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-106445656,-422743056148] |
[a1,a2,a3,a4,a6] |
j |
260517908888220429852329672/5279039649 |
j-invariant |
L |
1.8800853268404 |
L(r)(E,1)/r! |
Ω |
0.047002133170973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28704e2 57408cl2 86112bk2 |
Quadratic twists by: -4 8 -3 |