Atkin-Lehner |
2+ 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
12078j |
Isogeny class |
Conductor |
12078 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
978318 = 2 · 36 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 11+ -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1055315250,13195629646078] |
[a1,a2,a3,a4,a6] |
Generators |
[1038133108449159:-519025202795912:55349900731] |
Generators of the group modulo torsion |
j |
178296503348692983836197044001/1342 |
j-invariant |
L |
4.0999208004513 |
L(r)(E,1)/r! |
Ω |
0.25358254767711 |
Real period |
R |
16.167992781868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96624bu3 1342c3 |
Quadratic twists by: -4 -3 |