Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510cu |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
7225344 |
Modular degree for the optimal curve |
Δ |
6.6272373664358E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55795403,-160353509669] |
[a1,a2,a3,a4,a6] |
j |
652993822364173263/225280000000 |
j-invariant |
L |
1.9886641424862 |
L(r)(E,1)/r! |
Ω |
0.055240670630409 |
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 |
5390r1 48510dx1 |
Quadratic twists by: -3 -7 |