Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400eo |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
328961250000 = 24 · 36 · 57 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1800,-10125] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:100:1] |
Generators of the group modulo torsion |
j |
3538944/1805 |
j-invariant |
L |
5.9874964304023 |
L(r)(E,1)/r! |
Ω |
0.77392852053606 |
Real period |
R |
1.9341244931177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000731 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17100x1 7600j1 13680bk1 |
Quadratic twists by: -4 -3 5 |