Atkin-Lehner |
2+ 3- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
48840m |
Isogeny class |
Conductor |
48840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.9697466390717E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20304120,-35123756832] |
[a1,a2,a3,a4,a6] |
j |
904016362874564549207524/2900143202218458075 |
j-invariant |
L |
3.4145109694577 |
L(r)(E,1)/r! |
Ω |
0.071135645212895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680i4 |
Quadratic twists by: -4 |