Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126dc |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.3828722133603E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-611676,43671312] |
[a1,a2,a3,a4,a6] |
Generators |
[-656:13068:1] |
Generators of the group modulo torsion |
j |
295102348042033/161237583936 |
j-invariant |
L |
6.5322369936422 |
L(r)(E,1)/r! |
Ω |
0.1942330134438 |
Real period |
R |
2.1019331468158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071992 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42042dg2 2574m2 |
Quadratic twists by: -3 -7 |