Atkin-Lehner |
2+ 3- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
59598i |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-765028727295638652 = -1 · 22 · 36 · 73 · 112 · 436 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-98127,43738137] |
[a1,a2,a3,a4,a6] |
j |
-143338956306288625/1049422122490588 |
j-invariant |
L |
0.97573658868616 |
L(r)(E,1)/r! |
Ω |
0.24393414582886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
6622j4 |
Quadratic twists by: -3 |