Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
52528x |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1614520778752 = -1 · 220 · 73 · 672 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40019,3082002] |
[a1,a2,a3,a4,a6] |
Generators |
[119:70:1] |
Generators of the group modulo torsion |
j |
-5045083293951/1149184 |
j-invariant |
L |
6.3666827168745 |
L(r)(E,1)/r! |
Ω |
0.82167082865841 |
Real period |
R |
1.9371147467984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6566c1 52528y1 |
Quadratic twists by: -4 -7 |