Atkin-Lehner |
2- 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
83582n |
Isogeny class |
Conductor |
83582 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
7288236472465659376 = 24 · 236 · 795 |
Discriminant |
Eigenvalues |
2- -1 -1 -3 -2 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12368031,16736019925] |
[a1,a2,a3,a4,a6] |
Generators |
[1949:-7216:1] [135796:391771:64] |
Generators of the group modulo torsion |
j |
1413378216646643521/49232902384 |
j-invariant |
L |
11.388644680054 |
L(r)(E,1)/r! |
Ω |
0.22003057662414 |
Real period |
R |
1.2939843242614 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
158c2 |
Quadratic twists by: -23 |