Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150cy |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
4032007875000 = 23 · 37 · 56 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21063,-1174383] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:105:1] |
Generators of the group modulo torsion |
j |
66140223486121/258048504 |
j-invariant |
L |
11.774376272409 |
L(r)(E,1)/r! |
Ω |
0.39638873826055 |
Real period |
R |
0.47149387312791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1806a1 |
Quadratic twists by: 5 |