Atkin-Lehner |
2- 3- 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53010bu |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-15366016856913750 = -1 · 2 · 36 · 54 · 19 · 316 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,50863,-4022089] |
[a1,a2,a3,a4,a6] |
j |
19962278260435511/21078212423750 |
j-invariant |
L |
5.1127809178273 |
L(r)(E,1)/r! |
Ω |
0.21303253823821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5890b1 |
Quadratic twists by: -3 |