Atkin-Lehner |
3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235d |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2075407199775 = 33 · 52 · 72 · 137 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -2 13+ -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35522,2584794] |
[a1,a2,a3,a4,a6] |
Generators |
[452:-9099:1] [-16:1782:1] |
Generators of the group modulo torsion |
j |
38034753147/15925 |
j-invariant |
L |
6.3462312158835 |
L(r)(E,1)/r! |
Ω |
0.81284002316108 |
Real period |
R |
0.97593484496589 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53235a2 4095c2 |
Quadratic twists by: -3 13 |