Atkin-Lehner |
2- 3+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31992i |
Isogeny class |
Conductor |
31992 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
106880 |
Modular degree for the optimal curve |
Δ |
-7622683228656 = -1 · 24 · 32 · 315 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 6 -4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16700,-835671] |
[a1,a2,a3,a4,a6] |
Generators |
[236:-2883:1] |
Generators of the group modulo torsion |
j |
-32194311982157056/476417701791 |
j-invariant |
L |
6.0542745810048 |
L(r)(E,1)/r! |
Ω |
0.20980036030201 |
Real period |
R |
0.72143281502112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63984k1 95976j1 |
Quadratic twists by: -4 -3 |