Atkin-Lehner |
5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52855b |
Isogeny class |
Conductor |
52855 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2395680 |
Modular degree for the optimal curve |
Δ |
-4.155108372745E+20 |
Discriminant |
Eigenvalues |
-2 1 5+ -2 11+ 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2274046,-1645147014] |
[a1,a2,a3,a4,a6] |
Generators |
[392079:46980874:27] |
Generators of the group modulo torsion |
j |
-1524853387264/487179275 |
j-invariant |
L |
2.3436218425527 |
L(r)(E,1)/r! |
Ω |
0.060485214696698 |
Real period |
R |
6.4578367190276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52855e1 |
Quadratic twists by: -31 |