Atkin-Lehner |
2- 3+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040bm |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.0187959807928E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -4 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,312200,-138216848] |
[a1,a2,a3,a4,a6] |
Generators |
[55621650:-3353750414:15625] |
Generators of the group modulo torsion |
j |
821601208240129799/2487294874982400 |
j-invariant |
L |
4.7450332412383 |
L(r)(E,1)/r! |
Ω |
0.11720463855241 |
Real period |
R |
10.121257375897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130s2 |
Quadratic twists by: -4 |