Atkin-Lehner |
2+ 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
12078i |
Isogeny class |
Conductor |
12078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
35448374412 = 22 · 39 · 112 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5058,-136904] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:32:1] |
Generators of the group modulo torsion |
j |
19632741836833/48626028 |
j-invariant |
L |
3.2439727732515 |
L(r)(E,1)/r! |
Ω |
0.5661942626625 |
Real period |
R |
1.4323585504014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96624bs2 4026h2 |
Quadratic twists by: -4 -3 |