Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800bc |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
49280400000000 = 210 · 36 · 58 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9675,-141750] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:468:1] |
Generators of the group modulo torsion |
j |
8586756/4225 |
j-invariant |
L |
5.0988051318514 |
L(r)(E,1)/r! |
Ω |
0.50614949087737 |
Real period |
R |
1.2592142301182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23400o2 5200e2 9360r2 |
Quadratic twists by: -4 -3 5 |