Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160bc |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-17959376793600 = -1 · 212 · 32 · 52 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4679,160921] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-484:1] [-17:276:1] |
Generators of the group modulo torsion |
j |
1560896/2475 |
j-invariant |
L |
8.3920333799843 |
L(r)(E,1)/r! |
Ω |
0.47048912488592 |
Real period |
R |
2.2296034430519 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999974633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160do2 58080cg1 10560b2 |
Quadratic twists by: -4 8 -11 |