Atkin-Lehner |
2- 3+ 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31110p |
Isogeny class |
Conductor |
31110 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
186242238314726400 = 210 · 34 · 52 · 176 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-473586,-123910017] |
[a1,a2,a3,a4,a6] |
Generators |
[-431:827:1] |
Generators of the group modulo torsion |
j |
11746820588162739782689/186242238314726400 |
j-invariant |
L |
4.4086133490822 |
L(r)(E,1)/r! |
Ω |
0.18216594133412 |
Real period |
R |
0.80670281846597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
93330r2 |
Quadratic twists by: -3 |