Atkin-Lehner |
2- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28090d |
Isogeny class |
Conductor |
28090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67392 |
Modular degree for the optimal curve |
Δ |
93976891186960 = 24 · 5 · 537 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11763,-150589] |
[a1,a2,a3,a4,a6] |
j |
8120601/4240 |
j-invariant |
L |
0.97123343504519 |
L(r)(E,1)/r! |
Ω |
0.48561671752306 |
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 |
530b1 |
Quadratic twists by: 53 |