Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904bb |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7610031046656 = 215 · 312 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19617,1055745] |
[a1,a2,a3,a4,a6] |
Generators |
[3778040:2567097:42875] |
Generators of the group modulo torsion |
j |
25479663720776/232239717 |
j-invariant |
L |
8.2951095622198 |
L(r)(E,1)/r! |
Ω |
0.74509499409865 |
Real period |
R |
11.132955702828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83904bo3 41952j3 |
Quadratic twists by: -4 8 |