Atkin-Lehner |
2- 5- 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
88450r |
Isogeny class |
Conductor |
88450 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
88128 |
Modular degree for the optimal curve |
Δ |
28983296000 = 217 · 53 · 29 · 61 |
Discriminant |
Eigenvalues |
2- -2 5- 1 0 -5 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-778,1572] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:54:1] [-12:102:1] |
Generators of the group modulo torsion |
j |
416665342709/231866368 |
j-invariant |
L |
11.693306778584 |
L(r)(E,1)/r! |
Ω |
1.0216709229761 |
Real period |
R |
0.33662579592586 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88450i1 |
Quadratic twists by: 5 |