Atkin-Lehner |
3- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
80997u |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
10089924654774573 = 33 · 714 · 19 · 29 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3890307,2953083132] |
[a1,a2,a3,a4,a6] |
Generators |
[73044:-27507:64] |
Generators of the group modulo torsion |
j |
55346110126354718497/85762944477 |
j-invariant |
L |
6.8817675443935 |
L(r)(E,1)/r! |
Ω |
0.34706023018377 |
Real period |
R |
6.609580459234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571b3 |
Quadratic twists by: -7 |