Atkin-Lehner |
2+ 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782s |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-1995177010021888 = -1 · 29 · 73 · 118 · 53 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11- -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1777856,-912566514] |
[a1,a2,a3,a4,a6] |
j |
-2899156267929625/9307648 |
j-invariant |
L |
0.78447049271647 |
L(r)(E,1)/r! |
Ω |
0.065372539956051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89782bd2 |
Quadratic twists by: -11 |