Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235s |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.6680514631212E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25664625,-50037023750] |
[a1,a2,a3,a4,a6] |
Generators |
[6198:167084:1] |
Generators of the group modulo torsion |
j |
531301262949272089/4740474375 |
j-invariant |
L |
6.3451860096445 |
L(r)(E,1)/r! |
Ω |
0.067075830044819 |
Real period |
R |
5.9123252792849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745i3 4095l3 |
Quadratic twists by: -3 13 |