Atkin-Lehner |
2- 3- 7- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
38766bh |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
546 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-73735715708928 = -1 · 213 · 37 · 73 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -6 13+ -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39885,3090321] |
[a1,a2,a3,a4,a6] |
Generators |
[138:399:1] [114:-225:1] |
Generators of the group modulo torsion |
j |
-7017027553014146641/73735715708928 |
j-invariant |
L |
12.103018867118 |
L(r)(E,1)/r! |
Ω |
0.6163840457162 |
Real period |
R |
0.035962483740267 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116298n1 |
Quadratic twists by: -3 |