Atkin-Lehner |
2+ 3- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31992g |
Isogeny class |
Conductor |
31992 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2984491194624 = 28 · 38 · 312 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3964,-49504] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:216:1] |
Generators of the group modulo torsion |
j |
26914991023312/11658168729 |
j-invariant |
L |
3.6703709832917 |
L(r)(E,1)/r! |
Ω |
0.62585559761317 |
Real period |
R |
1.4661413101078 |
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 |
63984c2 95976s2 |
Quadratic twists by: -4 -3 |