Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55470f |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
1061928 |
Modular degree for the optimal curve |
Δ |
-6390523501778346750 = -1 · 2 · 37 · 53 · 438 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-110979,-122464844] |
[a1,a2,a3,a4,a6] |
j |
-12932809/546750 |
j-invariant |
L |
2.1849732813351 |
L(r)(E,1)/r! |
Ω |
0.10404634670038 |
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 |
55470y1 |
Quadratic twists by: -43 |