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 |
Δ |
4.2785938995298E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9201172,-10275207979] |
[a1,a2,a3,a4,a6] |
Generators |
[3507:22831:1] |
Generators of the group modulo torsion |
j |
732259344458458209457/36367448083110144 |
j-invariant |
L |
9.4031344872334 |
L(r)(E,1)/r! |
Ω |
0.08695121128116 |
Real period |
R |
6.7589156814769 |
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 |
126126ch2 6006bf2 |
Quadratic twists by: -3 -7 |