Atkin-Lehner |
2- 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042cy |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-5.9071269712305E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,232798,-367227036] |
[a1,a2,a3,a4,a6] |
Generators |
[720:12822:1] |
Generators of the group modulo torsion |
j |
581124479497931327/24602777889339936 |
j-invariant |
L |
9.1496577183329 |
L(r)(E,1)/r! |
Ω |
0.094870596936627 |
Real period |
R |
0.5357975327431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126bg2 42042cl2 |
Quadratic twists by: -3 -7 |