Atkin-Lehner |
2+ 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
12078m |
Isogeny class |
Conductor |
12078 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
3599292075991483608 = 23 · 38 · 113 · 616 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-383427,-4312035] |
[a1,a2,a3,a4,a6] |
j |
8551551109433208625/4937300515763352 |
j-invariant |
L |
0.41886860499154 |
L(r)(E,1)/r! |
Ω |
0.20943430249577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
96624bk4 4026i4 |
Quadratic twists by: -4 -3 |