Atkin-Lehner |
2- 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
89488f |
Isogeny class |
Conductor |
89488 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-1.5281971051614E+20 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -1 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3605952,2700666164] |
[a1,a2,a3,a4,a6] |
Generators |
[1540:28322:1] |
Generators of the group modulo torsion |
j |
-1265970858601452921793/37309499637729536 |
j-invariant |
L |
5.0283497357851 |
L(r)(E,1)/r! |
Ω |
0.1819607545646 |
Real period |
R |
1.3817127078407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11186c1 |
Quadratic twists by: -4 |