Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52900a |
Isogeny class |
Conductor |
52900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
437184 |
Modular degree for the optimal curve |
Δ |
11527377033363200 = 28 · 52 · 239 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 5 -5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-304175,64363430] |
[a1,a2,a3,a4,a6] |
Generators |
[2174190:39323744:3375] |
Generators of the group modulo torsion |
j |
270000 |
j-invariant |
L |
5.7017400999991 |
L(r)(E,1)/r! |
Ω |
0.40463569900035 |
Real period |
R |
7.0455228172256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52900x1 52900b1 |
Quadratic twists by: 5 -23 |