Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76320bg |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3046400 |
Modular degree for the optimal curve |
Δ |
-4.1902963203903E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10297083,-12756094882] |
[a1,a2,a3,a4,a6] |
Generators |
[45649180591:13881754417770:493039] |
Generators of the group modulo torsion |
j |
-323495961276992495048/1122657407511975 |
j-invariant |
L |
7.2342608569474 |
L(r)(E,1)/r! |
Ω |
0.042130903564882 |
Real period |
R |
10.731820713575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76320bh1 25440i1 |
Quadratic twists by: -4 -3 |