Atkin-Lehner |
2- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
16450t |
Isogeny class |
Conductor |
16450 |
Conductor |
∏ cp |
405 |
Product of Tamagawa factors cp |
deg |
291600 |
Modular degree for the optimal curve |
Δ |
-348990632200000000 = -1 · 29 · 58 · 75 · 473 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-449138,119253892] |
[a1,a2,a3,a4,a6] |
Generators |
[52:9774:1] |
Generators of the group modulo torsion |
j |
-25650931455188545/893416018432 |
j-invariant |
L |
5.312078381262 |
L(r)(E,1)/r! |
Ω |
0.301417577572 |
Real period |
R |
0.39163670281329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
16450a1 115150cu1 |
Quadratic twists by: 5 -7 |