Atkin-Lehner |
2+ 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290bm |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2138112 |
Modular degree for the optimal curve |
Δ |
9.3349865640084E+18 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1273329,-532830947] |
[a1,a2,a3,a4,a6] |
j |
313197485253202237969/12805194189312000 |
j-invariant |
L |
0.85488895250559 |
L(r)(E,1)/r! |
Ω |
0.14248149250798 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430v1 |
Quadratic twists by: -3 |