Atkin-Lehner |
2- 3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310bz |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
35635200 |
Modular degree for the optimal curve |
Δ |
1.5106378527454E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-675683843,-6496312557693] |
[a1,a2,a3,a4,a6] |
j |
46797945327454032647552834281/2072205559321529523840000 |
j-invariant |
L |
2.9692808419335 |
L(r)(E,1)/r! |
Ω |
0.029692808418754 |
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 |
16770c1 |
Quadratic twists by: -3 |