Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042t |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.3219995749072E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3988281,-99974486667] |
[a1,a2,a3,a4,a6] |
Generators |
[4304124055:182917096032:857375] |
Generators of the group modulo torsion |
j |
59633809076653006103/36736390236271934208 |
j-invariant |
L |
4.17917853881 |
L(r)(E,1)/r! |
Ω |
0.036323071648351 |
Real period |
R |
14.381969741135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126ew3 6006m4 |
Quadratic twists by: -3 -7 |