Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762l |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-24522577308 = -1 · 22 · 310 · 473 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -6 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,432,-6804] |
[a1,a2,a3,a4,a6] |
Generators |
[18:72:1] |
Generators of the group modulo torsion |
j |
117649/324 |
j-invariant |
L |
2.4202837133542 |
L(r)(E,1)/r! |
Ω |
0.61489998341958 |
Real period |
R |
0.98401519703113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13254k1 39762k1 |
Quadratic twists by: -3 -47 |