Atkin-Lehner |
2- 5- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37720m |
Isogeny class |
Conductor |
37720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-49488640000 = -1 · 211 · 54 · 23 · 412 |
Discriminant |
Eigenvalues |
2- 2 5- -2 4 4 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,640,8492] |
[a1,a2,a3,a4,a6] |
Generators |
[471:4240:27] |
Generators of the group modulo torsion |
j |
14133669118/24164375 |
j-invariant |
L |
9.1746489284762 |
L(r)(E,1)/r! |
Ω |
0.77241042036703 |
Real period |
R |
5.9389727834835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75440m2 |
Quadratic twists by: -4 |