Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600co |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3676531250000 = 24 · 59 · 76 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50633,-4367488] |
[a1,a2,a3,a4,a6] |
Generators |
[-1053430548:-251944750:8120601] |
Generators of the group modulo torsion |
j |
488095744/125 |
j-invariant |
L |
7.2232597475218 |
L(r)(E,1)/r! |
Ω |
0.31827102242349 |
Real period |
R |
11.347655360705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4900k3 78400ik3 3920bf3 400e3 |
Quadratic twists by: -4 8 5 -7 |