Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536di |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
99283968 = 210 · 36 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 4 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-141,387] |
[a1,a2,a3,a4,a6] |
j |
304900096/96957 |
j-invariant |
L |
5.2493005911663 |
L(r)(E,1)/r! |
Ω |
1.7497668637221 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536j1 6384f1 76608fe1 |
Quadratic twists by: -4 8 -3 |