Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400ba |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
876249752000000000 = 212 · 59 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 0 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-412833,91763537] |
[a1,a2,a3,a4,a6] |
Generators |
[135392:49817625:1] |
Generators of the group modulo torsion |
j |
972653141312/109531219 |
j-invariant |
L |
10.222320961605 |
L(r)(E,1)/r! |
Ω |
0.27179291911816 |
Real period |
R |
9.4026741204209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999753293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106400co2 106400cs2 |
Quadratic twists by: -4 5 |