Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042cn |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-5.7552451666305E+30 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,801301360,115092054497279] |
[a1,a2,a3,a4,a6] |
Generators |
[1693531030404:729324026096105:9528128] |
Generators of the group modulo torsion |
j |
483641001192506212470106511/48918776756543177755473774 |
j-invariant |
L |
8.0862447162166 |
L(r)(E,1)/r! |
Ω |
0.018403980007128 |
Real period |
R |
10.461304349702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126ce2 858k2 |
Quadratic twists by: -3 -7 |