Atkin-Lehner |
2+ 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040q |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7928121600 = 28 · 32 · 52 · 72 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1076,12540] |
[a1,a2,a3,a4,a6] |
j |
538671647824/30969225 |
j-invariant |
L |
2.5879736503365 |
L(r)(E,1)/r! |
Ω |
1.2939868833371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44520m2 |
Quadratic twists by: -4 |