Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042y |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-5.759817685743E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11+ 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1844089,-635640694] |
[a1,a2,a3,a4,a6] |
Generators |
[543:22660:1] |
Generators of the group modulo torsion |
j |
120305466752972375/99913556179008 |
j-invariant |
L |
4.8732165919916 |
L(r)(E,1)/r! |
Ω |
0.090440881629675 |
Real period |
R |
0.29934942056311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126eo2 42042i2 |
Quadratic twists by: -3 -7 |