Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510y |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.9218742089626E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-53884035,-118728348075] |
[a1,a2,a3,a4,a6] |
j |
201738262891771037089/45727545600000000 |
j-invariant |
L |
0.45302987057357 |
L(r)(E,1)/r! |
Ω |
0.05662873382868 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170ce2 990g2 |
Quadratic twists by: -3 -7 |