Atkin-Lehner |
2+ 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117216o |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.0197081165522E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-671724,145938240] |
[a1,a2,a3,a4,a6] |
Generators |
[852:13860:1] |
Generators of the group modulo torsion |
j |
11225581111029312/3414981850379 |
j-invariant |
L |
9.0184654045906 |
L(r)(E,1)/r! |
Ω |
0.21212419839869 |
Real period |
R |
3.5429186635446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117216g2 13024b2 |
Quadratic twists by: -4 -3 |