Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800de |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3603629250000 = 24 · 38 · 56 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165000,-25797125] |
[a1,a2,a3,a4,a6] |
Generators |
[-6852282668:-371516517:29218112] |
Generators of the group modulo torsion |
j |
2725888000000/19773 |
j-invariant |
L |
6.1917156504628 |
L(r)(E,1)/r! |
Ω |
0.23688019813585 |
Real period |
R |
13.069297685474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11700j3 15600ce3 1872p3 |
Quadratic twists by: -4 -3 5 |