Atkin-Lehner |
2- 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24596h |
Isogeny class |
Conductor |
24596 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
8190271232 = 28 · 113 · 13 · 432 |
Discriminant |
Eigenvalues |
2- -2 0 2 11- 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92268,10756900] |
[a1,a2,a3,a4,a6] |
Generators |
[-676500:235360070:68921] |
Generators of the group modulo torsion |
j |
339345250021762000/31993247 |
j-invariant |
L |
4.2563102332628 |
L(r)(E,1)/r! |
Ω |
1.0064260368353 |
Real period |
R |
8.4582673291059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
98384k2 |
Quadratic twists by: -4 |