Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12078q |
Isogeny class |
Conductor |
12078 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1.0288981216739E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8934815,-10160865017] |
[a1,a2,a3,a4,a6] |
Generators |
[-1741:11606:1] |
Generators of the group modulo torsion |
j |
4007643371736519220875/52273440109428736 |
j-invariant |
L |
6.6327631559461 |
L(r)(E,1)/r! |
Ω |
0.087391841427745 |
Real period |
R |
0.59294393285754 |
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 |
96624r2 12078a2 |
Quadratic twists by: -4 -3 |