Atkin-Lehner |
3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55575bk |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-3803830875 = -1 · 36 · 53 · 133 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 -2 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-470,5032] |
[a1,a2,a3,a4,a6] |
Generators |
[14:25:1] |
Generators of the group modulo torsion |
j |
-125751501/41743 |
j-invariant |
L |
3.8480546690457 |
L(r)(E,1)/r! |
Ω |
1.3190148499337 |
Real period |
R |
0.4862283732911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6175j1 55575ba1 |
Quadratic twists by: -3 5 |