Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042q |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.3864272454163E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3779640,-401911488] |
[a1,a2,a3,a4,a6] |
Generators |
[-177582:-9928181:216] |
Generators of the group modulo torsion |
j |
50755950018496437625/28784156647454208 |
j-invariant |
L |
3.0045979970166 |
L(r)(E,1)/r! |
Ω |
0.11686544172949 |
Real period |
R |
6.427473238775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126eq4 6006q4 |
Quadratic twists by: -3 -7 |