Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384dq |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7667712 |
Modular degree for the optimal curve |
Δ |
1.0702689690248E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8441580,8021450576] |
[a1,a2,a3,a4,a6] |
Generators |
[1805960:-76166937:512] |
Generators of the group modulo torsion |
j |
348118804674069625/56004830035968 |
j-invariant |
L |
9.3465710423039 |
L(r)(E,1)/r! |
Ω |
0.12255800821473 |
Real period |
R |
9.5328032217689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384n1 30096u1 40128bh1 |
Quadratic twists by: -4 8 -3 |