Atkin-Lehner |
2+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55738b |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
167400 |
Modular degree for the optimal curve |
Δ |
-49467680171578 = -1 · 2 · 29 · 318 |
Discriminant |
Eigenvalues |
2+ -2 0 2 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34136,2448120] |
[a1,a2,a3,a4,a6] |
Generators |
[-4511220:21815835:21952] |
Generators of the group modulo torsion |
j |
-5157625/58 |
j-invariant |
L |
2.6368897072519 |
L(r)(E,1)/r! |
Ω |
0.63705748795448 |
Real period |
R |
12.41751218917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998469 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55738j1 |
Quadratic twists by: -31 |