Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400ga |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
134742528000 = 212 · 36 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3555,79650] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:190:1] [-15:360:1] |
Generators of the group modulo torsion |
j |
13312053/361 |
j-invariant |
L |
9.5283725590861 |
L(r)(E,1)/r! |
Ω |
1.034431541959 |
Real period |
R |
1.1514020228263 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4275o2 7600t2 68400fy2 |
Quadratic twists by: -4 -3 5 |