Atkin-Lehner |
3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905bb |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-8194121236483875 = -1 · 38 · 53 · 75 · 112 · 173 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11- -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-189003,-31924967] |
[a1,a2,a3,a4,a6] |
j |
-1024241283846148096/11240221174875 |
j-invariant |
L |
2.288223200498 |
L(r)(E,1)/r! |
Ω |
0.1144111599541 |
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 |
19635p1 |
Quadratic twists by: -3 |