Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800kx |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-725896442880000000 = -1 · 216 · 310 · 57 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36300,-41078000] |
[a1,a2,a3,a4,a6] |
Generators |
[410:3600:1] |
Generators of the group modulo torsion |
j |
-7086244/972405 |
j-invariant |
L |
6.6768545252233 |
L(r)(E,1)/r! |
Ω |
0.12669537736243 |
Real period |
R |
1.6468770030629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ek3 25200v3 33600fw3 20160fb4 |
Quadratic twists by: -4 8 -3 5 |