Atkin-Lehner |
3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120159m |
Isogeny class |
Conductor |
120159 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
3416240529 = 39 · 133 · 79 |
Discriminant |
Eigenvalues |
1 3- -2 -4 4 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5238,-144585] |
[a1,a2,a3,a4,a6] |
Generators |
[102:561:1] |
Generators of the group modulo torsion |
j |
9924513949/2133 |
j-invariant |
L |
4.3413221509668 |
L(r)(E,1)/r! |
Ω |
0.56118996412747 |
Real period |
R |
3.8679613437493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999435115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40053h1 120159n1 |
Quadratic twists by: -3 13 |