Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
31164j |
Isogeny class |
Conductor |
31164 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
31752 |
Modular degree for the optimal curve |
Δ |
-131990883696 = -1 · 24 · 33 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1258,-2871] |
[a1,a2,a3,a4,a6] |
Generators |
[46:393:1] |
Generators of the group modulo torsion |
j |
2385152/1431 |
j-invariant |
L |
5.5147067715066 |
L(r)(E,1)/r! |
Ω |
0.60558115130664 |
Real period |
R |
3.0354901015923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
124656bu1 93492k1 31164f1 |
Quadratic twists by: -4 -3 -7 |