Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040cf |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
21986903250000 = 24 · 34 · 56 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66841,6625334] |
[a1,a2,a3,a4,a6] |
Generators |
[3614:216750:1] |
Generators of the group modulo torsion |
j |
2064139491706322944/1374181453125 |
j-invariant |
L |
5.6833677637071 |
L(r)(E,1)/r! |
Ω |
0.67209780389346 |
Real period |
R |
2.1140404457325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260a1 |
Quadratic twists by: -4 |