Atkin-Lehner |
3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6765g |
Isogeny class |
Conductor |
6765 |
Conductor |
∏ cp |
57 |
Product of Tamagawa factors cp |
deg |
147744 |
Modular degree for the optimal curve |
Δ |
232257843017578125 = 33 · 519 · 11 · 41 |
Discriminant |
Eigenvalues |
2 3- 5- 0 11+ -4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-473670,123157631] |
[a1,a2,a3,a4,a6] |
Generators |
[2730:9371:8] |
Generators of the group modulo torsion |
j |
11753095563136304459776/232257843017578125 |
j-invariant |
L |
9.2542688227336 |
L(r)(E,1)/r! |
Ω |
0.31367107791214 |
Real period |
R |
0.51759822570179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108240be1 20295n1 33825e1 74415m1 |
Quadratic twists by: -4 -3 5 -11 |