Atkin-Lehner |
2- 3- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330ba |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
1428891466466880 = 26 · 39 · 5 · 136 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-90506,-10328604] |
[a1,a2,a3,a4,a6] |
j |
81989101253781809569/1428891466466880 |
j-invariant |
L |
2.4798871563412 |
L(r)(E,1)/r! |
Ω |
0.27554301737125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
54990y1 91650i1 |
Quadratic twists by: -3 5 |