Atkin-Lehner |
2- 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
12078t |
Isogeny class |
Conductor |
12078 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
537096582 = 2 · 38 · 11 · 612 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1022,-12265] |
[a1,a2,a3,a4,a6] |
j |
161789533849/736758 |
j-invariant |
L |
1.6893476633161 |
L(r)(E,1)/r! |
Ω |
0.84467383165806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96624bv2 4026e2 |
Quadratic twists by: -4 -3 |