Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042co |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
1.2231582736154E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1612052,580269269] |
[a1,a2,a3,a4,a6] |
Generators |
[2099:79261:1] |
Generators of the group modulo torsion |
j |
3937972047511014577/1039667378061312 |
j-invariant |
L |
9.4031344872334 |
L(r)(E,1)/r! |
Ω |
0.17390242256232 |
Real period |
R |
3.3794578407385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126126ch1 6006bf1 |
Quadratic twists by: -3 -7 |