Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400ix |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
549421056000 = 218 · 36 · 53 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39073,2959583] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:2400:1] [23:1440:1] |
Generators of the group modulo torsion |
j |
201333092381/16767 |
j-invariant |
L |
13.365190962121 |
L(r)(E,1)/r! |
Ω |
0.88097969492177 |
Real period |
R |
1.264235623043 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400cj2 27600bv2 110400he2 |
Quadratic twists by: -4 8 5 |