Atkin-Lehner |
2- 3- 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470ba |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-212503500 = -1 · 22 · 36 · 53 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5648,-161953] |
[a1,a2,a3,a4,a6] |
Generators |
[1496276613:44813861227:1601613] |
Generators of the group modulo torsion |
j |
-27328019461561/291500 |
j-invariant |
L |
8.8460322121618 |
L(r)(E,1)/r! |
Ω |
0.27536048411706 |
Real period |
R |
16.062639199194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5830b1 |
Quadratic twists by: -3 |