Atkin-Lehner |
2+ 3- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590k |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
92400 |
Modular degree for the optimal curve |
Δ |
-62762343750 = -1 · 2 · 36 · 57 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19845,1081075] |
[a1,a2,a3,a4,a6] |
j |
-1185664463338321/86093750 |
j-invariant |
L |
1.0523443970781 |
L(r)(E,1)/r! |
Ω |
1.0523443969721 |
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 |
5510k1 |
Quadratic twists by: -3 |