Atkin-Lehner |
2- 3- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878bb |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
26669333463696 = 24 · 312 · 72 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9734,-271227] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:131:1] |
Generators of the group modulo torsion |
j |
139903436105497/36583447824 |
j-invariant |
L |
9.1402032050372 |
L(r)(E,1)/r! |
Ω |
0.48997824939902 |
Real period |
R |
2.3317879967754 |
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 |
10626a2 |
Quadratic twists by: -3 |