Atkin-Lehner |
2- 5+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
89300a |
Isogeny class |
Conductor |
89300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-59185667968750000 = -1 · 24 · 512 · 193 · 472 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8200,-11701375] |
[a1,a2,a3,a4,a6] |
Generators |
[820:23375:1] |
Generators of the group modulo torsion |
j |
243907559424/236742671875 |
j-invariant |
L |
4.7223649407922 |
L(r)(E,1)/r! |
Ω |
0.1638064598225 |
Real period |
R |
4.8048216365642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17860c1 |
Quadratic twists by: 5 |