Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200gx |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
372680000 = 26 · 54 · 7 · 113 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11+ 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7133,229513] |
[a1,a2,a3,a4,a6] |
Generators |
[48:5:1] |
Generators of the group modulo torsion |
j |
1003555225600/9317 |
j-invariant |
L |
4.0958534721248 |
L(r)(E,1)/r! |
Ω |
1.5291509650296 |
Real period |
R |
0.89283826289785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200ds2 30800co2 123200fm2 |
Quadratic twists by: -4 8 5 |