Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126cs |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7983360 |
Modular degree for the optimal curve |
Δ |
-5.229771279617E+20 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- 13+ -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-252261,1101413781] |
[a1,a2,a3,a4,a6] |
j |
-20699471212993/6097712265216 |
j-invariant |
L |
0.26818538444332 |
L(r)(E,1)/r! |
Ω |
0.13409381545974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042db1 2574n1 |
Quadratic twists by: -3 -7 |