Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160a |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9.1248691252992E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8963841,-17827528959] |
[a1,a2,a3,a4,a6] |
Generators |
[925770520318029784359:-50217241229977707866800:175323573661199769] |
Generators of the group modulo torsion |
j |
-128864147651/147622500 |
j-invariant |
L |
5.5229281805079 |
L(r)(E,1)/r! |
Ω |
0.041770083554155 |
Real period |
R |
33.0555247067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000117341 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160hk2 3630x2 116160f2 |
Quadratic twists by: -4 8 -11 |