Atkin-Lehner |
2- 3+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310bo |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
3680 |
Product of Tamagawa factors cp |
deg |
510842880 |
Modular degree for the optimal curve |
Δ |
-4.395433213505E+31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-697973919788,-224443487020919633] |
[a1,a2,a3,a4,a6] |
j |
-1910513036244429539910269056047008763/2233111422803952238644428800 |
j-invariant |
L |
2.4026889829438 |
L(r)(E,1)/r! |
Ω |
0.0026116184601612 |
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 |
50310h1 |
Quadratic twists by: -3 |