Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775cy |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
178848 |
Modular degree for the optimal curve |
Δ |
-12978470743875 = -1 · 39 · 53 · 74 · 133 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 0 13+ 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3838,-197291] |
[a1,a2,a3,a4,a6] |
Generators |
[634:401:8] |
Generators of the group modulo torsion |
j |
-20837691392/43243551 |
j-invariant |
L |
15.12150883562 |
L(r)(E,1)/r! |
Ω |
0.28456387688502 |
Real period |
R |
2.9521801340223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775bd1 47775bs1 |
Quadratic twists by: 5 -7 |