Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150cq |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-18562852340833500 = -1 · 22 · 34 · 53 · 78 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-63748,-9045919] |
[a1,a2,a3,a4,a6] |
Generators |
[5870:144551:8] |
Generators of the group modulo torsion |
j |
-229199579654789141/148502818726668 |
j-invariant |
L |
8.541154098121 |
L(r)(E,1)/r! |
Ω |
0.14597538481713 |
Real period |
R |
1.2189775050107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45150bj1 |
Quadratic twists by: 5 |