Atkin-Lehner |
5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52675f |
Isogeny class |
Conductor |
52675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-145730115904296875 = -1 · 59 · 79 · 432 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 5 1 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4110283,-3206101907] |
[a1,a2,a3,a4,a6] |
Generators |
[246797:122601062:1] |
Generators of the group modulo torsion |
j |
-12179700416512/231125 |
j-invariant |
L |
4.075874756801 |
L(r)(E,1)/r! |
Ω |
0.053015287941887 |
Real period |
R |
4.8050700503587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10535a1 52675e1 |
Quadratic twists by: 5 -7 |