Atkin-Lehner |
2- 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490cf |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-1.9330024956754E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8036999,-19248879319] |
[a1,a2,a3,a4,a6] |
j |
32407784379748930391/109112951553764400 |
j-invariant |
L |
7.3964855134421 |
L(r)(E,1)/r! |
Ω |
0.051364482733245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590k2 |
Quadratic twists by: -11 |