Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878bk |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
702793682268895602 = 2 · 36 · 76 · 114 · 234 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1371515,617253945] |
[a1,a2,a3,a4,a6] |
Generators |
[-3810:274635:8] |
Generators of the group modulo torsion |
j |
391379047744832043625/964051690355138 |
j-invariant |
L |
8.8354674924095 |
L(r)(E,1)/r! |
Ω |
0.28673738793976 |
Real period |
R |
1.2839081833575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542g2 |
Quadratic twists by: -3 |