Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600dd |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
26784000000000 = 214 · 33 · 59 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3967875,3042181250] |
[a1,a2,a3,a4,a6] |
Generators |
[-2225:29250:1] |
Generators of the group modulo torsion |
j |
31984819729407/124 |
j-invariant |
L |
8.0001161979178 |
L(r)(E,1)/r! |
Ω |
0.44734177831098 |
Real period |
R |
4.4709194164116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950l2 111600de2 111600df2 |
Quadratic twists by: -4 -3 5 |