Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440eq |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1182942351360 = 212 · 37 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-126867,17392786] |
[a1,a2,a3,a4,a6] |
Generators |
[-319:5040:1] |
Generators of the group modulo torsion |
j |
75627935783569/396165 |
j-invariant |
L |
6.3828002609969 |
L(r)(E,1)/r! |
Ω |
0.76766346667359 |
Real period |
R |
2.0786453107365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000153 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3465p3 18480cw3 |
Quadratic twists by: -4 -3 |