Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904bb |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
570230378496 = 212 · 36 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2137,-10535] |
[a1,a2,a3,a4,a6] |
Generators |
[2695:139860:1] |
Generators of the group modulo torsion |
j |
263621326528/139216401 |
j-invariant |
L |
8.2951095622198 |
L(r)(E,1)/r! |
Ω |
0.74509499409865 |
Real period |
R |
5.566477851414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982167 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83904bo2 41952j1 |
Quadratic twists by: -4 8 |