Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600ci |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-322828856000000000 = -1 · 212 · 59 · 79 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,169867,-4655363] |
[a1,a2,a3,a4,a6] |
Generators |
[3372:197225:1] |
Generators of the group modulo torsion |
j |
71991296/42875 |
j-invariant |
L |
4.5140356276296 |
L(r)(E,1)/r! |
Ω |
0.17822052733541 |
Real period |
R |
3.1660463690122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1225a2 78400hn2 3920bc2 2800s2 |
Quadratic twists by: -4 8 5 -7 |