Atkin-Lehner |
2+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89146b |
Isogeny class |
Conductor |
89146 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-177111023121034 = -1 · 2 · 296 · 533 |
Discriminant |
Eigenvalues |
2+ 2 3 2 3 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7586,-692122] |
[a1,a2,a3,a4,a6] |
Generators |
[268961552318225:-6894770792443669:417670296875] |
Generators of the group modulo torsion |
j |
-81182737/297754 |
j-invariant |
L |
9.8571882150767 |
L(r)(E,1)/r! |
Ω |
0.23433408844442 |
Real period |
R |
21.03233948165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106a2 |
Quadratic twists by: 29 |