Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800po |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-512192530096128000 = -1 · 216 · 312 · 53 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-551820,-161490800] |
[a1,a2,a3,a4,a6] |
Generators |
[1994:81648:1] |
Generators of the group modulo torsion |
j |
-3111705953492/85766121 |
j-invariant |
L |
7.1038450296081 |
L(r)(E,1)/r! |
Ω |
0.087440815535189 |
Real period |
R |
1.692536493291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010388 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800gn2 25200ci2 33600hg2 100800op2 |
Quadratic twists by: -4 8 -3 5 |