Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600cp |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12649824000000000 = 214 · 33 · 59 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112875,13556250] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:5250:1] |
Generators of the group modulo torsion |
j |
736314327/58564 |
j-invariant |
L |
3.9374456519493 |
L(r)(E,1)/r! |
Ω |
0.39067330586127 |
Real period |
R |
2.5196536293074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4950bc2 39600cw2 39600co2 |
Quadratic twists by: -4 -3 5 |