Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840bz |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
193052160000 = 212 · 34 · 54 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5265,143775] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:540:1] |
Generators of the group modulo torsion |
j |
3941317078336/47131875 |
j-invariant |
L |
8.7413897719824 |
L(r)(E,1)/r! |
Ω |
1.0109266784456 |
Real period |
R |
1.0808634739376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994225 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63840k3 127680n1 |
Quadratic twists by: -4 8 |