Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290bz |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-199297406000000 = -1 · 27 · 56 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 11- -7 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31780102,-68970669676] |
[a1,a2,a3,a4,a6] |
j |
-249353795628717731809/14000000 |
j-invariant |
L |
0.76303063835024 |
L(r)(E,1)/r! |
Ω |
0.031792943301587 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470d2 59290en2 |
Quadratic twists by: -7 -11 |