Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280m |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
7.9976595456E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-146163852,-680153934096] |
[a1,a2,a3,a4,a6] |
j |
66928707375050045043/155000000000 |
j-invariant |
L |
3.4735984696066 |
L(r)(E,1)/r! |
Ω |
0.04341998009787 |
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 |
89280dq2 2790a2 89280a2 |
Quadratic twists by: -4 8 -3 |