Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
52332g |
Isogeny class |
Conductor |
52332 |
Conductor |
∏ cp |
138 |
Product of Tamagawa factors cp |
deg |
6375600 |
Modular degree for the optimal curve |
Δ |
-1.1005078817117E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12672707,-47387337313] |
[a1,a2,a3,a4,a6] |
Generators |
[2561:43254:1] |
Generators of the group modulo torsion |
j |
152513249358848000/745708119488667 |
j-invariant |
L |
7.1027627298293 |
L(r)(E,1)/r! |
Ω |
0.043863542563616 |
Real period |
R |
1.1733957664101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52332d1 |
Quadratic twists by: -7 |