Atkin-Lehner |
2+ 3- 7+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
84546s |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.1211879202231E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7264836,-7039373040] |
[a1,a2,a3,a4,a6] |
j |
58166597712104237192257/4281464911142836032 |
j-invariant |
L |
2.9563598722528 |
L(r)(E,1)/r! |
Ω |
0.092386246343146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28182q3 |
Quadratic twists by: -3 |