Atkin-Lehner |
2+ 3- 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59598f |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4486435924320986328 = 23 · 314 · 78 · 11 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7846641,8461414885] |
[a1,a2,a3,a4,a6] |
j |
73290479748656940853777/6154233092347032 |
j-invariant |
L |
0.93563187665799 |
L(r)(E,1)/r! |
Ω |
0.23390796853349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19866o5 |
Quadratic twists by: -3 |