Atkin-Lehner |
2- 3- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31992n |
Isogeny class |
Conductor |
31992 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
464256 |
Modular degree for the optimal curve |
Δ |
-2331155318623839216 = -1 · 24 · 326 · 31 · 432 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 6 -4 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,302340,36182277] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:3483:1] |
Generators of the group modulo torsion |
j |
191024520953673691904/145697207413989951 |
j-invariant |
L |
7.636392621446 |
L(r)(E,1)/r! |
Ω |
0.16575446326708 |
Real period |
R |
0.44298567098597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63984a1 95976k1 |
Quadratic twists by: -4 -3 |