Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800lp |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
137781000000000000 = 212 · 39 · 512 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-189300,26192000] |
[a1,a2,a3,a4,a6] |
Generators |
[80:3400:1] |
Generators of the group modulo torsion |
j |
16079333824/2953125 |
j-invariant |
L |
4.5812239283059 |
L(r)(E,1)/r! |
Ω |
0.31157431444239 |
Real period |
R |
3.6758677721997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008491 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ng2 50400w1 33600ej2 20160fc2 |
Quadratic twists by: -4 8 -3 5 |