Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050ez |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3354624 |
Modular degree for the optimal curve |
Δ |
8.7916385720069E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -5 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1419125,469286237] |
[a1,a2,a3,a4,a6] |
Generators |
[1743:56476:1] |
Generators of the group modulo torsion |
j |
125801065/34992 |
j-invariant |
L |
11.089435161512 |
L(r)(E,1)/r! |
Ω |
0.17822753452463 |
Real period |
R |
3.8887913657168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350bi1 76050cx1 76050bv1 |
Quadratic twists by: -3 5 13 |