Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342bq |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
18319274994344184 = 23 · 310 · 79 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10670666,13419047121] |
[a1,a2,a3,a4,a6] |
Generators |
[1887:-901:1] |
Generators of the group modulo torsion |
j |
4567603158846559/622728 |
j-invariant |
L |
7.1116903465883 |
L(r)(E,1)/r! |
Ω |
0.30199639274067 |
Real period |
R |
3.9248208022445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114g2 27342bd2 |
Quadratic twists by: -3 -7 |