Atkin-Lehner |
2+ 3- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310w |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-2.790576907223E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,327186,-800567852] |
[a1,a2,a3,a4,a6] |
j |
5313486409749034271/382795186176000000 |
j-invariant |
L |
1.9859796628123 |
L(r)(E,1)/r! |
Ω |
0.082749152619708 |
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 |
16770p1 |
Quadratic twists by: -3 |