Atkin-Lehner |
3- 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
85305bd |
Isogeny class |
Conductor |
85305 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
60983911376953125 = 3 · 512 · 116 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-130380,13670427] |
[a1,a2,a3,a4,a6] |
Generators |
[-331:4703:1] |
Generators of the group modulo torsion |
j |
138356873478361/34423828125 |
j-invariant |
L |
4.9469388020263 |
L(r)(E,1)/r! |
Ω |
0.32876290183675 |
Real period |
R |
1.2539276728945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
705f3 |
Quadratic twists by: -11 |