Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52900b |
Isogeny class |
Conductor |
52900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
77868800 = 28 · 52 · 233 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -5 -5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-575,-5290] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:4:1] |
Generators of the group modulo torsion |
j |
270000 |
j-invariant |
L |
3.8781529008981 |
L(r)(E,1)/r! |
Ω |
0.97516775058314 |
Real period |
R |
1.9884542421548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52900w1 52900a1 |
Quadratic twists by: 5 -23 |