Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042be |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
Δ |
1.7631985959286E+26 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1523609456,-22881885238978] |
[a1,a2,a3,a4,a6] |
j |
3324730517043538694039691625/1498694078086994460672 |
j-invariant |
L |
1.0632749094289 |
L(r)(E,1)/r! |
Ω |
0.024165338851175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126fu2 6006b2 |
Quadratic twists by: -3 -7 |