Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
55470d |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-187211250 = -1 · 2 · 34 · 54 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -5 0 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,48,666] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:24:1] |
Generators of the group modulo torsion |
j |
6401711/101250 |
j-invariant |
L |
3.2134294086035 |
L(r)(E,1)/r! |
Ω |
1.3346092882985 |
Real period |
R |
0.30097098798429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55470be1 |
Quadratic twists by: -43 |